Question

charles and his 5 siblings buy a present for their mother on Mother's day. As the eldest brother, Charles pays 0.2 of the cost of the present. The rest of his siblings pay the balance equally. Each sibling pays $9.50 less than Charles. What is the cost of the present

Answer 1

Part of money paid by charles = 0.2
Money left = 1-0.2=0.8
money paid by each of charles' siblings = 0.8/6
let total cost be x.
0.8x/6+9.5=0.2x
0.8x/6=0.2x-9.5
0.8x/(6*0.2)=x-9.5
2x/3=x-9.5
(2x/3)-(3x/3)=(-9.5)
-x/3=-9.5
-x=-9.5*3
-x=-28.5
x=28.5

Answer 2

Answer:

The final answer is  1187.5.

Step-by-step explanation:

Given, There are 6 children including Charles.

Total Percent Charles pays for the present = 0.2 = 20 %

Total Percent Rest of the 5 siblings pay = 0.8 / 6 = 80 % / 5

Let total cost be x.

We also know that each sibling pays 9.5 dollars less than Charles hence,

20x / 100 - 5 * 9.5 = 80x / 500

80x / 500 - 20x / 100 = -47.5

80x / 500 - 100x / 500 = -47 .5

80x - 100x = - 47.5 * 500

-20x = -23750

x = 23750 / 20 = 1187.5

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