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?
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
check answer
20 shirts • 10 profit = 200
80 shirts • 5 profit = 400
total profit = 600
.
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
check answer
20 shirts • 10 profit = 200
80 shirts • 5 profit = 400
total profit = 600
.