Asked by Andrea
I'm really struggling with this word problem, please help. Alex is selling tomatoes. last week he bought some at $20 for 50 tomatoes and sold them (except for 30 rotten ones) at 120c each to make $84 profit. how many tomatoes did he buy?
Answers
Answered by
Reiny
let n be the number he originally bought
cost = 20(n/50) = 2n/5
number he sold = n-30
return = 1.2(n-30)
profit equation:
1.2(n-30) - 2n/5 = 84
1.2n - 36 - 2n/5 = 84
1.2n - .4n = 120
.8n = 120
n = 150
he bought 150 tomatoes
check:
cost to buy them = 20(150/50) = $60
return = 1.2(150-30) = $144
profit = 144-60 = 84
My answer is correct
cost = 20(n/50) = 2n/5
number he sold = n-30
return = 1.2(n-30)
profit equation:
1.2(n-30) - 2n/5 = 84
1.2n - 36 - 2n/5 = 84
1.2n - .4n = 120
.8n = 120
n = 150
he bought 150 tomatoes
check:
cost to buy them = 20(150/50) = $60
return = 1.2(150-30) = $144
profit = 144-60 = 84
My answer is correct
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