Question

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3. Jack bought two shirts and five pairs of jeans, costing $650. Dylan bought four shirts
and three pairs of jeans, costing $595. If x represents the cost of a shirt and if y
represents the cost of a pair of jeans, write two equations that represent the scenario
above. Then, use vertical addition to add the equations together. State the simplified
equation as your final answer.

Answer 1

Answer: 6x + 8y =1,245

Explanation:

Hi, to answer this question we have to write an equation for each person:

Jack = The total cost (650) must be equal to the product of the number of shirts he bought (2) and the price per shirt (x); plus the product of the number of pair of jeans he bought (5) and the price per jean (y).

2 x+ 5 y=650

Dylan = The total cost (595) must be equal to the product of the number of shirts he bought (4) and the price per shirt (x); plus the product of the number of pair of jeans he bought (3) and the price per jean (y).

4x+3y = 595

Vertical addition:

2 x+ 5 y=650

+

4x+3y = 595

_________

6x + 8y =1,245