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Billy purchased 100 shirts at a cost of \$15 each and planned to resell them. The first week he sold some of them for \$25 each. The second week he sold the rest for \$20 each. If his total profit was \$600, how many shirts did he sell the first week?

Mar 15, 2024

#1
+961
+1

Billy purchased 100 shirts at a cost of \$15 each and planned to resell them. The first week he sold some of them for \$25 each. The second week he sold the rest for \$20 each. If his total profit was \$600, how many shirts did he sell the first week?

n  =  number of shirts sold the 1st week at \$10 profit

(100 – n)  =  number of shirts sold the 2nd week at \$5 profit

[ 10 • (n) ]  +  [ 5 • (100 – n) ]  =  600

10n + 500 – 5n  =  600

5n  =  100

n  =  20  shirts sold the first week

20 shirts • 10 profit  =  200

80 shirts •   5 profit  =  400

total profit  =  600

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Mar 16, 2024

#1
+961
+1

Billy purchased 100 shirts at a cost of \$15 each and planned to resell them. The first week he sold some of them for \$25 each. The second week he sold the rest for \$20 each. If his total profit was \$600, how many shirts did he sell the first week?

n  =  number of shirts sold the 1st week at \$10 profit

(100 – n)  =  number of shirts sold the 2nd week at \$5 profit

[ 10 • (n) ]  +  [ 5 • (100 – n) ]  =  600

10n + 500 – 5n  =  600

5n  =  100

n  =  20  shirts sold the first week