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3 years ago

Are these ratios equivalent? 8 sneakers to 20 sandals 4 sneakers to 10 sandals

Mathematics

1 answer:

Aleksandr-060686 [28]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

For the first ratio we can simplifiy it by divide the two numbers by 4

8:4 = 2

20: 4 = 5

2 sneakers to 5 sandals

For the second ratio we can simplify it by dividing the two numbers by 2

4 : 2 = 2

10 : 2 = 5

2 sneakers to 5 sandals

we have found that the two ration are equivalent

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3 years ago

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3 years ago

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Answer: $\dfrac{27}{65}$

<u>Step-by-step explanation:</u>

There are 130 students.

There are 58 boys --> 72 girls

A) 49 chose football: 27 are girls --> 22 are boys

B) 72 girls: 24 chose running, 27 chose football --> 21 girls chose tennis

C) 27 students chose tennis: 21 are girls --> 6 are boys.

D) 58 boys: 22 chose football, 6 chose tennis --> 30 boys chose running.

$\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&22&27&49\\Tennis&6&21&27\\\underline{Running}&\underline{\quad 30\quad}&\underline{\quad 24\quad}&\underline{\quad 54\quad}\\Total&58&72&130\end{array}}$

Total running = 30 boys + 24 girls = 54

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$\dfrac{\text{Total running}}{\text{Total students}}=\dfrac{54}{130}\quad \rightarrow \large\boxed{\dfrac{27}{65}}$

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