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?
+23245 Dean bought both a skateboard and a helmet: S + H
The helmet was only 5/7ths 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 2/7ths 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 = ....
+23245 Dean bought both a skateboard and a helmet: S + H
The helmet was only 5/7ths 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 2/7ths 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 = ....
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
+237 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
