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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?

Apr 18, 2022

#2
+1

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  =  ....

Apr 18, 2022

#1
-3

sorry i dont know this one maybe vin do

sincerely▄︻デ🇮‌🇫‌1️⃣🇳‌1️⃣🇹‌¥══━一

Apr 18, 2022
#2
+1

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  =  ....

geno3141 Apr 18, 2022
#3
0

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

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

Apr 20, 2022
edited by Slimesewer  Apr 20, 2022