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!
Spymore
