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3 years ago

) A coin collection consisting of pennies, dimes, and quarters totals 45 coins. The number of

Mathematics

1 answer:

Sloan [31]3 years ago

5 0

9514 1404 393

Answer:

$7.14

Step-by-step explanation:

Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.

p + d + q = 45 . . . . . . . . there are 45 coins in the collection

2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies

p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies

Substituting the last two equations into the first gives ...

p +(p +4) +(2p +5) = 45

4p = 36 . . . . . . . . . . . . . subtract 9

p = 9 . . . . . . . . . . . divide by 4

d = 9 +4 = 13

q = 2(9) +5 = 23

The value of the collection is ...

23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14

The coin collection is worth $7.14.

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