# Pedro spent 1/2 in the first store then he spent 1/4 of what he had left in the second store.after he spent 60 pesos in the third store ,he had no money left.how much did he have at first?

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by aljins

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by aljins

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because 60 is your basis and 1/2 and 1/4 are your guide so you need to form 1 whole. 60 is just 1/4. multiply 60 x 4. that's the answer.

Money spent on first store: ¹/₂ (x)

Money spent on second store: ¹/₄ (¹/₂) (x)

Money spent on third store: 60

Equation:

x - [ 1/2(x) + 1/4 (1/2)(x) + 60) ] = 0

x - [ 1/2(x) + 1/8(x) + 60 ] = 0

Change the sign of each term of the subtrahend [1/2(x) + 1/8 (x) + 60]:

x + [-¹/₂ x - ¹/₈ x - 60] = 0

x + (-⁴/₈ x - ¹/₈ x) - 60 = 0

x - ⁵/₈ x = 60

LCD: 8

(8)x - (8) ⁵/₈ x = (8) (60)

8x - 5x = 480

3x = 480

3x/3 = 480/3

ANSWER: Pedro has Php160 at first.

First store

Second store: (¹/₄) (¹/₂) (160) = ¹/₈ (160) = 20 pesos

Third Store: 60 pesos

Expenses: 80 + 20 + 60 = 160

160 - 160 = 0 ( No money left or all money were spent on three stores)