Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Kayla's graduation picnic will cost $\$16$ if it has $8$ attendees. At most how many attendees can there be if Kayla budgets a total of $\$18$ for her graduation picnic? Assume the relationship is directly proportional. $\newline$ _____ attendees

View step-by-step help

View step-by-step help

Solve proportions: word problems

Full solution

Q. Kayla's graduation picnic will cost

\$16

if it has

8

attendees. At most how many attendees can there be if Kayla budgets a total of

\$18

for her graduation picnic? Assume the relationship is directly proportional.

\newline

_____ attendees

Establish known proportion: Step $1$ : Establish the known proportion. $\newline$ ● Cost for $8$ attendees: $\$16$ $\newline$ ● Cost for $x$ attendees: $\$18$ $\newline$ Set up the proportion based on the known values. $\newline$ $\$16 / 8 = \$18 / x$
Cross-multiply relationship: Step $2$ : Cross-multiply to find the relationship between costs and attendees. $16 \times x = 8 \times 18$
Solve for x: Step $3$ : Solve for x. $\newline$ $16x = 144$ $\newline$ $x = \frac{144}{16}$ $\newline$ $x = 9$

More problems from Solve proportions: word problems

Question

Pamela drove her car

99

kilometers and used

9

liters of fuel. She wants to know how many kilometers

(k)

she can drive with

12

liters of fuel. She assumes the relationship between kilometers and fuel is proportional.

\newline

How many kilometers can Pamela drive with

12

liters of fuel?

\newline

\mathrm{km}

Posted 3 months ago

Question

Elio makes candles that are

14 \mathrm{~cm}

tall. Each candle burns

8

hours before going out. He is wondering how many hours a

21 \mathrm{~cm}

tall candle can burn for.

\newline

He assumes that the relationship between the height of a candle and number of hours it burns

(h)

is proportional.

\newline

21 \mathrm{~cm}

tall candle burn for?

\newline

Posted 3 months ago

Question

\frac{3}{7} = \frac{h}{14} - \frac{2}{7}

h

Posted 2 months ago

Question

Yesterday, between noon and midnight, the temperature went down by

28.7^{\circ} \mathrm{F}

. If the temperature was

-13.5^{\circ} \mathrm{F}

at midnight, what was it at noon?

\newline

\square

{ }^{\circ} \mathrm{F}

Posted 2 months ago

Question

Yesterday the temperature at noon was

20.4^{\circ} \mathrm{F}

. By midnight, it had gone down by

28.9^{\circ} \mathrm{F}

. What was the temperature at midnight?

\newline

\square

{ }^{\circ} \mathrm{F}

Posted 2 months ago

Question

From midnight to

9

00

am, the temperature rose

\frac{3}{5}^{\circ} \mathrm{C}

each hour. If the temperature at midnight was

-9^{\circ} \mathrm{C}

, what was the temperature at

9

00

\newline

\square

{ }^{\circ} \mathrm{C}

Posted 2 months ago

Question

1 \frac{3}{4}

-inch candle burns down in

7

hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a

1

-inch candle to burn down?

\newline

\newline

Posted 2 months ago

Question

3 \frac{1}{2}

-inch candle burns down in

7

hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a

4 \frac{1}{2}

-inch candle to burn down?

\newline

Posted 2 months ago

Question

3 \frac{1}{2}

-inch candle burns down in

7

hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a

5

-inch candle to burn down?

\newline

Posted 2 months ago

Question

1 \frac{3}{4}

-inch candle burns down in

7

hours. Assuming the candles are the same thickness and make (that is, directly proportional), how long would it take a

1

-inch candle to burn down?

\newline

Posted 2 months ago