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Saturday, January 26, 2008
Geometry
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2 comments:
Word Problem. Very Hard Plz Help Homework?
When Jim cleaned out the reflecting pool at the library, he found 20 nickels and quarters. The collection of nickels and quarters totaled $2.60. How many quarters did Jim find? Plz show all your work. Thx
Let x = nickels, and y = quarters.
So we have, x + y = 20 be Equation #1 and x = 20 - y
Because each nickel = $0.05 and each quarter = $0.25,
so we have 0.05x + 0.25y = 2.60 be Equation #2
Using Equation #1 and substitute into Equation #2, we get
0.05(20-y) + 0.25y = 2.60
1 - 0.05y + 0.25y = 2.60
0.20y = 1.60
y = 8 quarters
x + 8 = 20 >>>>>> x = 12 nickels.
Check: 12(0.05) + 8(0.25) = .60 + 2.00 = $2.60 CORRECT
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