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Sunny_sXe
[5.5K]
3 years ago
9
chase and sara went to the candy store. chase bought 5 pieces of fudge and 3 pieces of gum for 5.70. sara bought 2 pieces of fud
ge and 10 pieces of gum for 3.60. determne the cost of 1 piece of fudge and 1 piece of gum
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Vilka
[71]
3 years ago
6
0
Let, the cost of 1 piece of fudge = x
Cost of a gum = y
System of equations: 5x + 3y = 5.70
2x + 10y = 3.60
Multiply 1st equation by 2, and second by 5,
New equations: 10x + 6y = 11.40
10x + 50y = 18
Now, subtract 1st from 2nd,
44y = 6.60
y = 6.60 / 44
y = 0.15
Substitute it in second equation,
2x + 10(0.15) = 3.60
2x = 3.60 - 1.5
x = 2.10 / 2
x = 1.05
In short, Cost of a Fudge = $1.05 & Cost of a gum = $0.15
Hope this helps!
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