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Assign two variables for each problem, and write the equations. Do not solve.


A pair of boots and a pair of tennis shoes cost $196.12. The difference in their cost is $44.38. Determine the cost of each type of shoe.


Please do not say 'just divide' or 'just multiply' the two numbers. I need the two variables and two equations.

Verified Answer :

Price of boots is represented as x, price of tennis shoes is represented as y.

x-y=44.38
x+y=196.12

Isolate x. (Or y, if you wanted to)

x=y+44.38
x=196.12-y

Set them equal to each other.

y+44.38=196.12-y

Solve for y. Then plug it in to either of the two original equations to find x.

x=120.24
y=75.86

Note: This is assuming that the boots are more expensive than the tennis shoes. If the tennis shoes are more expensive than the boots, then the prices would be switched. I didn't find this clear in your question.

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