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I giving 10 pts . Pls help me . I may mark you as a brainliest.
Tina Rita and Brenda shared a sum of money in the ratio 3: 7:4 . If Tina and Rita received $162 more than brenda ,how much did brenda received
A) $27
B)$81
C)$108
D)378

Respuesta :

Answer:

C. $108

Step-by-step explanation:

Let;

Total amount = x

Brenda = (4/14)x = y

equation 1

4x = 14y

x = 14y/4

equation 2

Tina and Rita = (3/14)x + (7/14)x = y + 162

10x/14 = y + 162

10x = 14(y+162)

10x = 14y+2268

10*(14y/4) = 14y+2268

140y/4 = 14y+2268

140y = 4(14y+2268)

140y = 56y+9072

140y-56y = 9072

84y = 9072

y = 9072/84

y = 108

But;

x = 14y/4

x = (14*108)/4

x = 378

Brenda = 4/14 * 378 = 108

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