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## A bag of coins contains only quarters and dimes. The number of dimes in the bag can be represented by x. The number of quarters is 6 more th

Question

A bag of coins contains only quarters and dimes. The number of dimes in the bag can be represented by x. The number of quarters is 6 more than twice the number of dimes. There are a total of 276 coins in the bag. What is x, the number of dimes in the bag?

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Mathematics
3 years
2021-08-26T12:51:45+00:00
2021-08-26T12:51:45+00:00 1 Answers
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## Answers ( )

Answer:There are 90 coins in the bag.

Step-by-step explanation:Let , the number of dimes and quarters. Now we proceed to translate each relevant sentence into mathematical expressions:

(i)The number of quarters is 6 more than twice the number of dimes:(1)(ii)There are a total of 276 coins in the bag:(2)By applying (1) in (2), we find that the number of dimes is:

There are 90 coins in the bag.