MATHEMATICS HIGH SCHOOL

The table shows the amount that each person spend on snacks, games, and souvenirs the las time they went to the carnival.Sinea- snacks $5/ games $8/ souvenirs $12
Ren- snacks $10/ games $8/ souvenirs $20

A. Siena wants to spend money using the same ratios as on her last trip to the carnival. If she spends $26 on games, how much will she spend on souvenirs?
B. Ren wants to spend money using the same ratios as on his last trip to the carnival. If he spends $5 on souvenirs, how much will he spend on snacks?

Answers

Answer 1
Answer:

Let

x-------> money spent in snacks

y-------> money spent in games

z-------> money spent in souvenirs

we know that

Siena's ratios

(x)/(y) =(5)/(8) \n\n (x)/(z)= (5)/(12) \n \n (y)/(z) =(8)/(12)

Ren's ratios

(x)/(y) =(10)/(8) \n\n (x)/(z)= (10)/(20) \n \n (y)/(z) =(8)/(20)

Part A) A. Siena wants to spend money using the same ratios as on her last trip to the carnival. If she spends $26 on games, how much will she spend on souvenirs?

So

(y)/(z) =(8)/(12) \n \n 12y=8z\n \n z=(12)/(8) y

y=26-----> money spent in games

substitute the value of y

z=(12)/(8) y\n \n z=(12)/(8) *26\n \n z=39

therefore

the answer Part A) is

Siena spend on souvenirs $39

Part B) Ren wants to spend money using the same ratios as on his last trip to the carnival. If he spends $5 on souvenirs, how much will he spend on snacks?

(x)/(z) =(10)/(20) \n \n 20x=10z\n \n x=(1)/(2) *z

z=5 ----> money spent in souvenirs

Substitute the value of z

x=(1)/(2) *z\n \n x=(1)/(2) *5\n \n x=2.5

therefore

the answer part B) is

Ren spend on snacks $2.5
Answer 2
Answer: This is a problem of proportions. The initial data gives you the ratios, then you can use them to build proportions for each case. A. Siena's game to souvenier ratio is 8/12 then you can build the proportion: 8/12 = 26/x and solve for x: x = 26*12/8 = 17.33 B. Ren's souvenier to snacks ratio is 20 / 10, the the proportion is 20 / 10 = 5 / x => x = 5 * 10 / 20 = 2.5

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Answer:

Step-by-step explanation:

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Answers

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Answer:

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