Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The weight of a watermelon and a muskmelon together is 648 grams. If muskmelon weighs 126 grams less than watermelon, then weight of the watermelon is? 216 grams 387 grams 370 grams 522 grams Solve: 123m46cm-9868cm

The weight of a watermelon and a muskmelon together is 648648 grams. If muskmelon weighs 126126 grams less than watermelon, then weight of the watermelon is?\newline11) 216216 grams\newline22) 387387 grams\newline33) 370370 grams\newline44) 522522 grams\newlineSolve: 123 m46 cm−9868 cm 123 \mathrm{~m} 46 \mathrm{~cm}-9868 \mathrm{~cm}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Add and subtract integers: word problemsright chevron icon

Full solution

Q. The weight of a watermelon and a muskmelon together is 648648 grams. If muskmelon weighs 126126 grams less than watermelon, then weight of the watermelon is?\newline11) 216216 grams\newline22) 387387 grams\newline33) 370370 grams\newline44) 522522 grams\newlineSolve: 123 m46 cm−9868 cm 123 \mathrm{~m} 46 \mathrm{~cm}-9868 \mathrm{~cm}
  1. Denote weights: Let's denote the weight of the watermelon as WW and the weight of the muskmelon as MM. We know that M=W−126M = W - 126 grams.
  2. Total weight equation: The total weight of both fruits is given as W+M=648W + M = 648 grams.
  3. Substitute expression: Substitute the expression for MM into the total weight equation: W+(W−126)=648W + (W - 126) = 648 grams.
  4. Combine like terms: Combine like terms: 2W−126=6482W - 126 = 648 grams.
  5. Add 126126: Add 126126 to both sides to isolate the term with WW: 2W=648+1262W = 648 + 126.
  6. Calculate sum: Calculate the sum: 2W=7742W = 774 grams.
  7. Divide by 22: Divide both sides by 22 to find the weight of the watermelon: W=7742W = \frac{774}{2}.
  8. Solve second problem: Perform the division: W=387 grams.W = 387 \text{ grams}.
  9. Convert meters: Now, let's solve the second problem: 123m46cm−9868cm123\text{m}46\text{cm} - 9868\text{cm}. First, convert meters to centimeters: 123m=12300cm123\text{m} = 12300\text{cm}.
  10. Add centimeters: Add the centimeters to the converted meters: 12300 cm+46 cm=12346 cm12300\,\text{cm} + 46\,\text{cm} = 12346\,\text{cm}.
  11. Subtract given centimeters: Subtract the given centimeters from the total: 12346 cm−9868 cm.12346\,\text{cm} - 9868\,\text{cm}.
  12. Perform subtraction: Perform the subtraction: 12346 cm−9868 cm=2478 cm.12346\,\text{cm} - 9868\,\text{cm} = 2478\,\text{cm}.
  13. Convert back: Convert the result back to meters and centimeters: 2478 cm=24 m78 cm2478\,\text{cm} = 24\,\text{m}78\,\text{cm}.

More problems from Add and subtract integers: word problems

Question
Which of the following is a correct interpretation of the expression −3−5 -3-5 ?\newlineChoose 11 answer:\newline(A) Start at 55 on the number line and move 33 to the left.\newline(B) Start at 55 on the number line and move 33 to the right.\newline(C) Start at −3-3 on the number line and move 55 to the left.\newline(D) Start at −3-3 on the number line and move 55 to the right.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression −3+(−5)? -3+(-5) ? \newlineChoose 11 answer:\newline(A) The number that is 55 to the left of −3-3 on the number line\newline(B) The number that is 55 to the right of −3-3 on the number line\newline(C) The number that is 33 to the left of 55 on the number line\newline(D) The number that is 33 to the right of 55 on the number line
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression −4+13 -4+13 ?\newlineChoose 11 answer:\newline(A) The number that is 44 to the left of −13-13 on the number line\newline(B) The number that is 44 to the right of −13-13 on the number line\newline(C) The number that is 1313 to the left of −4-4 on the number line\newline(D) The number that is 1313 to the right of −4-4 on the number line
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression 5−8 5-8 ?\newlineChoose 11 answer:\newline(A) Start at 55 on the number line and move 88 to the left.\newline(B) Start at 55 on the number line and move 88 to the right.\newline(C) Start at 88 on the number line and move 55 to the left.\newline(D) Start at 88 on the number line and move 55 to the right.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression 3+(−7)? 3+(-7) ? \newlineChoose 11 answer:\newline(A) Start at 77 on the number line and move 33 to the left.\newline(B) Start at 77 on the number line and move 33 to the right.\newline(C) Start at 33 on the number line and move 77 to the left.\newline(D) Start at 33 on the number line and move 77 to the right.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following are true statements about the expression −7+7 -7+7 ?\newlineChoose 22 answers:\newline(A) The expression describes the number that is 77 to the left of −7-7 on the number line.\newline(B) The expression describes the number that is 77 to the right of −7-7 on the number line.\newline(C) The expression equals −14-14 .\newline(D) The expression equals 00.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression 6−13 6-13 ?\newlineChoose 11 answer:\newline(A) Start at 1313 on the number line and move 66 to the left.\newline(B) Start at 1313 on the number line and move 66 to the right.\newline(C) Start at 66 on the number line and move 1313 to the left.\newline(D) Start at 66 on the number line and move 1313 to the right.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following are true statements about the expression −9+9 -9+9 ?\newlineChoose 22 answers:\newline(A) The expression describes the number that is 99 to the left of −9-9 on the number line.\newline(B) The expression describes the number that is 99 to the right of −9-9 on the number line.\newline(C) The expression equals −18-18 .\newline(D) The expression equals 00 .
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following is a correct interpretation of the expression −7−(−11)? -7-(-11) ? \newlineChoose 11 answer:\newline(A) Start at −7-7 on the number line and move 1111 to the left.\newline(B) Start at −7-7 on the number line and move 1111 to the right.\newline(C) Start at −11-11 on the number line and move 77 to the left.\newline(D) Start at −11-11 on the number line and move 77 to the right.
Get tutor helpright-arrow

Posted 3 months ago

Question
Which of the following are true statements about the expression −8+8? -8+8 ? \newlineChoose 22 answers:\newline(A) The expression describes the number that is 88 to the left of −8-8 on the number line.\newline(B) The expression describes the number that is 88 to the right of −8-8 on the number line.\newline(C) The expression equals −16-16 .\newline(D) The expression equals 00 .
Get tutor helpright-arrow

Posted 3 months ago

View all (3)