Answer:
$50
Explanation:
Let x be the cost of each shirt and y be the cost of each pair of shorts.
From the first sentence, we know that Joseph bought 2 identical shirts and 5 identical shorts for $150, so we can write:
2x + 5y = 150
From the second sentence, we know that each shirt cost 5 times as much as each pair of shorts, so we can write:
x = 5y
We can substitute x = 5y from Equation 2 into Equation 1 and get:
2(5y) + 5y = 150
Simplifying:
10y + 5y = 150
15y = 150
y = 10
Now that we know y, we can substitute it back into Equation 2 and get:
x = 5y = 5(10) = 50
We can check our answer by substituting x = 50 and y = 10 back into Equation 1 and verifying that it is true:
2x + 5y = 150
2(50) + 5(10) = 150
100 + 50 = 150
150 = 150
Therefore, each shirt costs $50.