Question

7. Alice has a coin purse containing $5.40 in dimes and quarters. There are 24 coins all together. How

many dimes are in the coin purse?

Answer 1

20 quarters 4 dimes

Step-by-step explanation:(Elimination method)

I will replace 0.10, 0.25 and 5.4 by 10 25 and 540 to get rid of the decimals

D +Q = 24

10D + 25Q = 540

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Multiply the first equation by -10

-10D -10Q = -240

10D + 25Q = 540 Subtract the fractions:

0 + 15Q = 300

Q= 20

24-20 = 4 4 dimes

4 dimes =$ 0.40

20 quartes = $5

$5+$0.40=$ 5.40