Question 12 • Advanced Algebra: Concepts and Connections
A store owner puts in an order for product cap x and product cap y for a total of 4 comma 000 units. It costs 0 point 1 0 dollars per item to ship of product cap x and 0 point 0 4 dollars per item to ship product cap y If the total shipping cost is 352 dollars , which system of equations can be used to determine how much of product cap x and product cap y the store owner bought?
Answer
A
x plus y is equal to 4 comma 000 0 point 1 x plus 0 point 0 4 y is equal to 352
B
x plus y is equal to 4 comma 000 10 x plus 4 y is equal to 352
C
0 point 1 x plus 0 point 0 4 y is equal to 4 comma 000 x plus y is equal to 352
D
10 x plus 4 y is equal to 4 comma 000 x plus y is equal to 352
Explanation
Let x be the number of product cap x items and y the number of product cap y items. The total order is 4,000 units, so x + y = 4,000. Shipping costs $0.10 per cap x and $0.04 per cap y, so the total shipping cost gives 0.10x + 0.04y = 352. These equations are shown in choice A.
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