Answered

IDNStudy.com, ang iyong mapagkukunan para sa maaasahan at pangkomunidad na mga sagot. Makakuha ng hakbang-hakbang na mga gabay para sa lahat ng iyong teknikal na tanong mula sa mga miyembro ng aming komunidad.

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?

Sagot :

BrokenScene01idn
P240 is the answer
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.
Pedro's money: x
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
x = 160

ANSWER: Pedro has Php160 at first.

To check, subtract the expenses from Php160:

First store: ¹/₂ x = ¹/₂ (160) = 80 pesos
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)



Ang iyong kontribusyon ay mahalaga sa amin. Huwag kalimutang bumalik upang magtanong at matuto ng mga bagong bagay. Ang iyong kaalaman ay napakahalaga sa ating komunidad. Bawat tanong ay may sagot sa IDNStudy.com. Salamat sa pagpili sa amin at sa muling pagkikita.