proportion word problems\nanswer each question and round your answer to the nearest whole number.\n1) if you…

proportion word problems\nanswer each question and round your answer to the nearest whole number.\n1) if you can buy one can of pineapple chunks for $2 then how many can you buy with $10?\n2) one jar of crushed ginger costs $2. how many jars can you buy for $4?\n3) one cantaloupe costs $2. how many cantaloupes can you buy for $6?\n4) one package of blueberries costs $3. how many packages of blueberries can you buy for $9?\n5) 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?\n6) 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?\n7) jasmine bought 32 kiwi fruit for $16. how many kiwi can lisa buy if she has $4?\n8) if you can buy four bulbs of elephant garlic for $8 then how many can you buy with $32?\n9) one bunch of seedlees black grapes costs $2. how many bunches can you buy for $20?\n10) 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.

Answer

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

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