Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15 : 1 . He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice.
How many servings can David make with the current amount of spice he has?
servings

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is $15 : 1$ . He currently has $40$ grams of the spice blend, and he can go buy more if necessary. He wants to make $10$ servings, where each serving has $75$ grams of rice. Overall, David spends $4.50$ dollars on rice. $\newline$ How many servings can David make with the current amount of spice he has? $\newline$ $\square$ servings

View step-by-step help

View step-by-step help

Multi-step problems with unit conversions

Full solution

Q. David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is

15 : 1

. He currently has

40

grams of the spice blend, and he can go buy more if necessary. He wants to make

10

servings, where each serving has

75

grams of rice. Overall, David spends

4.50

dollars on rice.

\newline

How many servings can David make with the current amount of spice he has?

\newline

\square

servings

Calculate Rice Amount: First, we need to determine the total amount of rice David needs for $10$ servings, where each serving is $75$ grams of rice. $\newline$ Calculation: $10$ servings $\times$ $75$ grams per serving $= 750$ grams of rice needed.
Calculate Spice Amount: Next, we need to calculate how much spice is required for the $750$ grams of rice, using the rice-to-spice ratio of $15:1$ . Calculation: For every $15$ grams of rice, $1$ gram of spice is needed. Therefore, for $750$ grams of rice, we need $\frac{750 \, \text{grams}}{15} = 50$ grams of spice.
Check Spice Quantity: Now, we compare the amount of spice David has ( $40$ grams) with the amount of spice required ( $50$ grams) to determine if he has enough spice for $10$ servings. $\newline$ Calculation: David has $40$ grams of spice, but he needs $50$ grams for $10$ servings.
Determine Servings with Available Spice: Since David does not have enough spice for $10$ servings, we need to find out how many servings he can make with the $40$ grams of spice he currently has. $\newline$ Calculation: If $1$ gram of spice is needed for $15$ grams of rice, then $40$ grams of spice is enough for $40 \times 15 = 600$ grams of rice.
Calculate Available Servings: Finally, we calculate how many servings of $75$ grams of rice can be made from $600$ grams of rice. $\newline$ Calculation: $\frac{600 \, \text{grams of rice}} {75 \, \text{grams per serving}} = 8 \, \text{servings}$ .

More problems from Multi-step problems with unit conversions

Question

Eric made a scale drawing of the auditorium. The stage, which is \(35\) feet wide in real life, is \(5\) inches wide in the drawing. What is the scale of the drawing? \(1\) inch :

\_\_\_\_\_

Posted 1 month ago

Question

\newline

66

=

\_\_\_\_\_

Posted 1 month ago

Question

Wyatt, a chemist at a chemical supply company, has carefully measured out

100

gallons of a solution containing

14\%

acetone. He also has access to unlimited quantities of a

9\%

acetone solution. How many gallons of the

9\%

acetone solution must Wyatt add to the

14\%

acetone solution to create a solution that contains

10\%

\newline

Write your answer as a whole number or as a decimal rounded to the nearest tenth.

\newline

\newline

\newline

Posted 1 month ago

Question

William recently started running after school. Yesterday, he ran

4.8

41

6

seconds. Today, he ran

4.1

33

4

seconds. What was William's average speed over the two runs?

\newline

Write your answer as a whole number, a decimal, or a simplified fraction or mixed number. Do not round.

\newline

\newline

____ miles per minute

\newline

Posted 1 month ago

Question

\newline

750

=

Posted 1 month ago

Question

\newline

250

=

Posted 1 month ago

Question

An electrolyte solution has an average current density of

1\,\frac{\text{A}}{\text{dm}^2}

\newline

What is the current density of the solution in

\frac{\text{A}}{\text{m}^2}

\newline

\square

\frac{\text{A}}{\text{m}^2}

Posted 1 month ago

Question

The formula for the length of the hypotenuse in a right triangle is

\sqrt{a^{2}+b^{2}}

a

b

are the lengths of the triangle's sides (this formula is derived from the Pythagorean theorem).

\newline

From the side, a certain ramp has a right-triangular shape. Its height is

30

centimeters and its horizontal length is

3

\newline

What calculation will give us the estimated length of the ramp in meters?

\newline

1

\newline

\sqrt{\left(\frac{30^{2}}{100^{2}}\right)+3^{2}}

\newline

\sqrt{30^{2}+3^{2}\cdot 100^{2}}

\newline

\sqrt{30^{2}\cdot 100^{2}+3^{2}}

\newline

\sqrt{30^{2}+\left(\frac{3^{2}}{100^{2}}\right)}

Posted 1 month ago

Question

Roselyn is driving to visit her family, who live

150

kilometers away. Her average speed is

60

kilometers per hour. The car's tank has

20

liters of fuel at the beginning of the drive, and its fuel efficiency is

6

kilometers per liter. Fuel costs

0.60

dollars per liter.

\newline

What is the price for the amount of fuel that Roselyn will use for the entire drive?

\newline

Posted 1 month ago

Question

What is the inverse of the function

8x+1

Posted 18 hours ago