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?

Serenah329 Mar 15, 2024

#1**+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 1^{st} week at $10 profit

(100 – n) = number of shirts sold the 2^{nd} 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

_{.}

Bosco Mar 16, 2024

#1**+1 **

Best Answer

*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 1^{st} week at $10 profit

(100 – n) = number of shirts sold the 2^{nd} 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

_{.}

Bosco Mar 16, 2024