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
[tex]7:12::x:18[/tex]
Product of mean = Product of extreme
[tex]12*x=7*18\\12x=126[/tex]
Dividing both sides by 12
[tex]\frac{12x}{12}=\frac{126}{12}\\x=10.5[/tex]
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,
[tex]11:2::x:7[/tex]
Product of mean = Product of extreme
[tex]2*x = 7*11\\2x=77[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{77}{2}\\x=38.5[/tex]
It will print 38.5 pages in 7 minutes.
Question #3: Solve the proportion: 18\24=b\12
Given proportion is;
[tex]\frac{18}{24}=\frac{b}{12}[/tex]
Using cross multiplication;
[tex]b*24=18*12\\24b=216[/tex]
Dividing both sides by 24
[tex]\frac{24b}{24}=\frac{216}{24}\\b=9[/tex]
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;
[tex]8:12::x:18[/tex]
Product of mean = Product of extreme
[tex]12*x=18*8\\12x=144[/tex]
Dividing both sides by 12
[tex]\frac{12x}{12}=\frac{144}{12}\\x=12[/tex]
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;
[tex]3:7::x:21[/tex]
Product of mean = Product of extreme
[tex]7*x=21*3\\7x=63[/tex]
Dividing both side by 7
[tex]\frac{7x}{7}=\frac{63}{7}\\x=9[/tex]
Shayna can buy 9 cantaloupes if she has $21.
Keywords: ratio, proportion
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