tahadichowdhury12
Answered

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Jamey has 4 quarters, some dimes, and some pennies. If the ratio of quarters to dimes is 8 : 6 and the ratio of pennies to dimes is 7 : 3, then how many pennies does Jamey have?

Sagot :

Answer:

7

Step-by-step explanation:

the ratio of [pennies to dimes is 7:3.... 7 represents pennies and 3 dimes

By the given ratio, Number of pennies does Jamey have are 7.

What is a ratio?

"A ratio compares values. A ratio says how much of one thing there is compared to another thing."

According to the question

Jamey has 4 quarters, some dimes, and some pennies.

Ratio of quarters to dimes is 8:6

So, [tex]\frac{4}{d}=\frac{8}{6}[/tex]

⇒ [tex]8d = 6(4)[/tex]

⇒ [tex]d=\frac{6}{2}[/tex]

⇒ [tex]d=3[/tex]

Ratio of pennies to dimes is 7 : 3

So, [tex]\frac{p}{d}=\frac{7}{3}[/tex]

By substituting d = 3

⇒ [tex]\frac{p}{3}=\frac{7}{3}[/tex]

⇒ [tex]p = \frac{7}{3}(3)[/tex]

⇒ [tex]p =7[/tex]

Hence, number of pennies does Jamey have are 7.

Learn more about ratio here

https://brainly.com/question/10167786

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