Steve has $20.51 of change. He has twice as manyquarters as pennies and 20 times

Question

Steve has $20.51 of change. He has twice as manyquarters as pennies and 20 times as many half dollars asquarters. How many of each type does he have? Jed has a stamp collection. He has 2 more 25 cent stampsthan he has 32 cent stamps, and he has twice as many 50 cent stampsas he has 25 cent stamps. Altogether he has $10.35 worth ofstamps. How many of each type: 25, 32 and 50 cent stamps doeshe have? Steve has $20.51 of change. He has twice as manyquarters as pennies and 20 times as many half dollars asquarters. How many of each type does he have? Jed has a stamp collection. He has 2 more 25 cent stampsthan he has 32 cent stamps, and he has twice as many 50 cent stampsas he has 25 cent stamps. Altogether he has $10.35 worth ofstamps. How many of each type: 25, 32 and 50 cent stamps doeshe have?

Explanation / Answer

x = the number of pennies
you have twice as many quarters as pennies, so: 2x = # of quarters
you have twenty times as many half dollars as quarters,so: 20(2x) = 40x = # of half dollars
multiply each by the their corresponding value and set equalto the amount of change: (.01)x + (.25)2x + (.50)4x = 20.51
solve for x and you can determine how many of each.
Part 2 can be solved the same way.
x = # of 25 cent stamps x-2 = # 32 cent stamps 2x = # of 50 cent stamps
.25(x) + .32(x-2) + .50(2x) = 10.35

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