A sporting goods store sells footballs, basketballs, and volleyballs. A football costs $7, a baskeball costs $3, and a volleyball costs $21. On a given day, 3 times the number of footballs sold was the same as the number of volleyballs sold. The store brought in a total of $3750 that day, and the money made from basketballs alone was $58 more than the money made from volleyballs alone. Let x, y, z be the number of footballs, basketballs, and volleyballs sold respectively. Set up the matrix A that solves Ax = b, where -8 and b= 3750 0 58 A=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A sporting goods store sells footballs, basketballs, and volleyballs. A football costs $7, a baskeball costs $3, and a volleyball costs $21. On a given day,
3 times the number of footballs sold was the same as the number of volleyballs sold. The store brought in a total of $3750 that day, and the money made
from basketballs alone was $58 more than the money made from volleyballs alone. Let x, y, z be the number of footballs, basketballs, and volleyballs
sold respectively. Set up the matrix A that solves Ax = b, where
X=
and
b=
3750
0
58
A=
Transcribed Image Text:A sporting goods store sells footballs, basketballs, and volleyballs. A football costs $7, a baskeball costs $3, and a volleyball costs $21. On a given day, 3 times the number of footballs sold was the same as the number of volleyballs sold. The store brought in a total of $3750 that day, and the money made from basketballs alone was $58 more than the money made from volleyballs alone. Let x, y, z be the number of footballs, basketballs, and volleyballs sold respectively. Set up the matrix A that solves Ax = b, where X= and b= 3750 0 58 A=
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