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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

Best Answer 

 #2
avatar+23198 
+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
avatar+114 
-3

sorry i dont know this one maybe vin do 

sincerely▄︻デ🇮‌🇫‌1️⃣🇳‌1️⃣🇹‌¥══━一

 Apr 18, 2022
 #2
avatar+23198 
+1
Best Answer

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
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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

 Apr 18, 2022
 #4
avatar+231 
+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

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