Question

WILL GIVE BRAINLEST Question #1: Solve the proportion: It takes 7 tomatillos to make 12 ounces of enchilada sauce. How many tomatillos does it take to make 18 ounces of enchilada sauce?
Question #2: Solve the proportion: A printer can print 11 color pages in 2 minutes. How many color pages can the printer print in 7 minutes?
Question #3: Solve the proportion: 18\24=b\12
Question #4: y and x have a proportional relationship, and y = 12 when x = 8. What is the value of x when y = 18?
Question #5: Solve the proportion: Gabriella bought three cantaloupes for $7. How many cantaloupes can Shayna buy if she has $21?

Answer 1

Question 1: 10.5 tormatillos will make 18 ounces of enchilda sauce.

Question 2: It will print 38.5 pages in 7 minutes.

Question 3: b=9

Question 4: when y=18, x will be 12.

Question 5: Shayna can buy 9 cantaloupes if she has $21.

Step-by-step explanation:

Question #1: Solve the proportion: It takes 7 tomatillos to make 12 ounces of enchilada sauce. How many tomatillos does it take to make 18 ounces of enchilada sauce?

Ratio of tormatillos to enchilda sauce = 7:12

Let, x be the tormatillos.

New ratio of tormatillos to enchilda sauce = x:18

Using proportion;

Ratio of tormatillos to enchilda sauce :: New ratio of tormatillos to enchilda sauce

$7:12::x:18$

Product of mean = Product of extreme

$12*x=7*18\\12x=126$

Dividing both sides by 12

$\frac{12x}{12}=\frac{126}{12}\\x=10.5$

10.5 tormatillos will make 18 ounces of enchilda sauce.

Question #2: Solve the proportion: A printer can print 11 color pages in 2 minutes. How many color pages can the printer print in 7 minutes?

Ratio of page to time = 11:2

new pages = x

New ratio of pages to time = x:7

Using proportion,

$11:2::x:7$

Product of mean = Product of extreme

$2*x = 7*11\\2x=77$

Dividing both sides by 2

$\frac{2x}{2}=\frac{77}{2}\\x=38.5$

It will print 38.5 pages in 7 minutes.

Question #3: Solve the proportion: 18\24=b\12

Given proportion is;

$\frac{18}{24}=\frac{b}{12}$

Using cross multiplication;

$b*24=18*12\\24b=216$

Dividing both sides by 24

$\frac{24b}{24}=\frac{216}{24}\\b=9$

b=9

Question #4: y and x have a proportional relationship, and y = 12 when x = 8. What is the value of x when y = 18?

x:y = 8:12

x:y = x:18

Proportion;

$8:12::x:18$

Product of mean = Product of extreme

$12*x=18*8\\12x=144$

Dividing both sides by 12

$\frac{12x}{12}=\frac{144}{12}\\x=12$

when y=18, x will be 12.

Question #5: Solve the proportion: Gabriella bought three cantaloupes for $7. How many cantaloupes can Shayna buy if she has $21?

Ratio of cantaloupes to price = 3:7

New ratio of cantaloupes to price = x:21

Using proportion;

$3:7::x:21$

Product of mean = Product of extreme

$7*x=21*3\\7x=63$

Dividing both side by 7

$\frac{7x}{7}=\frac{63}{7}\\x=9$

Shayna can buy 9 cantaloupes if she has $21.

Keywords: ratio, proportion

Learn more about ratios at:

• brainly.com/question/605571
• brainly.com/question/5873564

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