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 footwear Write and solve using system of equations

Answer: A pair of boots costs $120.25. A pair of tennis shoes costs $75.87✔️

Step-by-step explanation:

Let B the cost of a pair of boots and let T the cost of a pair of tennis shoes.

Then we know:

A pair of boots and a pair of tennis shoes cost $196.12:

B + T = $196.12 } Equation 1

We also know:

The difference in their cost is $44.38:

B - T = $44.38 } Equation 2

From the equation 1 we know T:

T = $196.12 - B

Now we can substitute this value in equation 2:

B - ($196.12 - B) = $44.38

B - $196.12 + B = $44.38

2B = $44.38 + $196.12 = $240.5

B = $240.5/2 = $120.25◄cost of a pair of boots

Since we know the value of T from the equation 1:

T = $196.12 - B = $196.12 - $120.25 = $75.87◄cost of a pair of tennis shoes

Answer: A pair of boots costs $120.25. A pair of tennis shoes costs $75.87✔️

Verify

We can substitute these values in equations 1 and 2 and check the results:

B + T = $196.12 } Equation 1

$120.25 + $75.87 = 196.12 ✔️check!

B - T = $44.38 } Equation 2

$120.25 - $75.87 = $44.38 ✔️check!

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