Determine how much money did the carpenter start with
The total money with the carpenter is $318.4
Given:
let
x = <em>total money with the carpenter</em>
<em>Bags of sand</em> = 7/8 of x
= 7/8x
<em>Money remaining</em> = x - 7/8x
= (8x-7x) / 8
= 1/8x
<em>Bags of bunting bags</em> = 1/2 of 1/8x
= 1/2 × 1/8x
= 1/16x
<em>Money left </em>= $19.90
<em>Total money = bags of sand + bag of bunting flag + money left</em>
x = 7/8x + 1/16x + 19.90
x = (14x + x) / 16 + 19.90
x = 15/16x + 19.90
x - 15/16x = 19.90
16x - 15x / 16 = 19.90
x/16 = 19.90
divide both sides by 1/16
x = 19.90 ÷ 1/16
= 19.90 × 16/1
= 318.4
Therefore, the total money with the carpenter is $318.4
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