Mum gave Clare, Dean and Eden some money in the ratio 3:8:9. Dean used his money to buy a skateboard and a helmet. The cost of the helmet is 5/7 the cost of the skateboard which Dean paid $44 more than the helmet. How much money did mum give to the three children?

Guest Apr 18, 2022

#2**+1 **

Dean bought both a skateboard and a helmet: S + H

The helmet was only 5/7^{ths} the cost of the skateboard; so H = (5/7)S

Therefore, the cost of the skateboard and the helmet was S + (5/7)S.

The helmet cost $44.00 more than the skateboard.

Also, the helmet cost 2/7^{ths} more than the skateboard [ S - (5/7)S = (2/7)S ].

So: (2/7)S = $44.00

Multiplying both sides by 7: 2S = $308.00 ---> S = $154.00

The helmet cost: (5/7) x $154.00 = $110.00

Dean's amount = $154.00 + $110.00 = $264.00

Since he received 8 shares, each share is worth $33.00.

Clare received 3 shares = $33.00 x 3 = .....

Eden received 9 shares = $33.00 x 9 = ....

Total given to all threee was = ....

geno3141 Apr 18, 2022

#2**+1 **

Best Answer

Dean bought both a skateboard and a helmet: S + H

The helmet was only 5/7^{ths} the cost of the skateboard; so H = (5/7)S

Therefore, the cost of the skateboard and the helmet was S + (5/7)S.

The helmet cost $44.00 more than the skateboard.

Also, the helmet cost 2/7^{ths} more than the skateboard [ S - (5/7)S = (2/7)S ].

So: (2/7)S = $44.00

Multiplying both sides by 7: 2S = $308.00 ---> S = $154.00

The helmet cost: (5/7) x $154.00 = $110.00

Dean's amount = $154.00 + $110.00 = $264.00

Since he received 8 shares, each share is worth $33.00.

Clare received 3 shares = $33.00 x 3 = .....

Eden received 9 shares = $33.00 x 9 = ....

Total given to all threee was = ....

geno3141 Apr 18, 2022

#3**0 **

About Dean:

Let's see the cost of skateboard is a, the helmet is b

b = 5/7a

{a = 154

=> 2/7a = 44 {b = 110

a - b = 44

So Dean got 154 + 110 = $264

So Clare got 264 * 3 / 8 = $99

Eden got 264 * 9 / 8 = $297

$264 + $99 + $267 = $660

Guest Apr 18, 2022

#4**+1 **

Cost of helmet = 5/7 * cost of skateboard

Cost of helmet + 44 = cost of skateboard

5/7 * cost of skateboard + 44 = cost of skateboard

2/7 cost of skateboard = 44

cost of skateboard = $154

cost of helmet = 154 - 44 = $11

Money given to Dean = 154 + 110 = $264

The money given are

Claire : Dean : Eden = 3:8:9.

8x = 264

x = 33

Claire's money = 3x = $99

Eden's money = 9x = $297

Slimesewer Apr 20, 2022