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The number of quarters in Sarah's purse is one less than twice the number of dimes she has. If the dimes and quarters total $3.95, how many dimes does she have?

Respuesta :

calculista

Answer:

7 dimes

Step-by-step explanation:

Let

x-----> the number of quarters

y----> the number of dimes

Remember that

1 quarter=$0.25

1 dime=$0.10

we know that

0.25x+0.10y=3.95 -----> Multiply by 100 both sides

25x+10y=395 -----> equation A

x=2y-1 ----> equation B

substitute equation B in equation A

25(2y-1)+10y=395

solve for y

50y-25+10y=395

50y+10y=395+25

60y=420

y=7 dimes

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