Question

proportion word problems
answer each question and round your answer to the nearest whole number.

1. if you can buy one can of pineapple chunks for $2 then how many can you buy with $10?
2. one jar of crushed ginger costs $2. how many jars can you buy for $4?
3. one cantaloupe costs $2. how many cantaloupes can you buy for $6?
4. one package of blueberries costs $3. how many packages of blueberries can you buy for $9?
5. shawna reduced the size of a rectangle to a height of 2 in. what is the new width if it was originally 24 in wide and 12 in tall?
6. ming was planning a trip to western samoa. before going, she did some research and learned that the exchange rate is 6 tala for $2. how many tala would she get if she exchanged $6?
7. jasmine bought 32 kiwi fruit for $16. how many kiwi can lisa buy if she has $4?
8. if you can buy four bulbs of elephant garlic for $8 then how many can you buy with $32?
9. one bunch of seedlees black grapes costs $2. how many bunches can you buy for $20?
10. the money used in jordan is called the dinar. the exchange rate is $3 to 2 dinars. find how many dollars you would receive if you exchanged 22 dinars.

Explanation:

Step1: Set up proportion for question 1

Let $x$ be the number of cans of pineapple chunks. The proportion is $\frac{1}{2}=\frac{x}{10}$. Cross - multiply gives $2x = 10$.

Step2: Solve for $x$ in question 1

$x=\frac{10}{2}=5$.

Step3: Set up proportion for question 2

Let $y$ be the number of jars of crushed ginger. The proportion is $\frac{1}{2}=\frac{y}{4}$. Cross - multiply gives $2y = 4$.

Step4: Solve for $y$ in question 2

$y = \frac{4}{2}=2$.

Step5: Set up proportion for question 3

Let $z$ be the number of cantaloupes. The proportion is $\frac{1}{2}=\frac{z}{6}$. Cross - multiply gives $2z=6$.

Step6: Solve for $z$ in question 3

$z=\frac{6}{2}=3$.

Step7: Set up proportion for question 4

Let $w$ be the number of packages of blueberries. The proportion is $\frac{1}{3}=\frac{w}{9}$. Cross - multiply gives $3w = 9$.

Step8: Solve for $w$ in question 4

$w=\frac{9}{3}=3$.

Step9: Set up proportion for question 5

The ratio of height to width remains the same. Let the new width be $a$. The proportion is $\frac{12}{24}=\frac{2}{a}$. Cross - multiply gives $12a=24\times2$.

Step10: Solve for $a$ in question 5

$a=\frac{24\times2}{12}=4$.

Step11: Set up proportion for question 6

Let $b$ be the number of Tala. The proportion is $\frac{6}{2}=\frac{b}{6}$. Cross - multiply gives $2b=6\times6$.

Step12: Solve for $b$ in question 6

$b=\frac{6\times6}{2}=18$.

Step13: Set up proportion for question 7

First, find the unit price. If 32 kiwis cost $16$, the unit price is $\frac{16}{32}=0.5$ per kiwi. Let $c$ be the number of kiwis Lisa can buy. The proportion is $\frac{1}{0.5}=\frac{c}{4}$. Cross - multiply gives $0.5c = 4$.

Step14: Solve for $c$ in question 7

$c=\frac{4}{0.5}=8$.

Step15: Set up proportion for question 8

If 4 bulbs of elephant garlic cost $8$, the unit price is $\frac{8}{4}=2$ per bulb. Let $d$ be the number of bulbs. The proportion is $\frac{4}{8}=\frac{d}{32}$. Cross - multiply gives $8d=4\times32$.

Step16: Solve for $d$ in question 8

$d=\frac{4\times32}{8}=16$.

Step17: Set up proportion for question 9

Let $e$ be the number of bunches of grapes. The proportion is $\frac{1}{2}=\frac{e}{20}$. Cross - multiply gives $2e = 20$.

Step18: Solve for $e$ in question 9

$e=\frac{20}{2}=10$.

Step19: Set up proportion for question 10

Let $f$ be the number of dollars. The proportion is $\frac{3}{2}=\frac{f}{22}$. Cross - multiply gives $2f=3\times22$.

Step20: Solve for $f$ in question 10

$f=\frac{3\times22}{2}=33$.

Answer:

1. 5
2. 2
3. 3
4. 3
5. 4
6. 18
7. 8
8. 16
9. 10
10. 33