CE TASK
V.
3
The carpenter spent 7/8 of his money on bags of sand for the sandbox. He spent 1/2 of the rest
of his money on some packs of bunting flags to decorate thesandbox and had $19.90 left How much money did the carpenter start with? Draw a bar model to show your work

Respuesta :

Determine how much money did the carpenter start with

The total money with the carpenter is $318.4

Given:

let

x = total money with the carpenter

Bags of sand = 7/8 of x

= 7/8x

Money remaining = x - 7/8x

= (8x-7x) / 8

= 1/8x

Bags of bunting bags = 1/2 of 1/8x

= 1/2 × 1/8x

= 1/16x

Money left = $19.90

Total money = bags of sand + bag of bunting flag + money left

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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