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Josie had P150 in her wallet when she entered a store. After
buying 3 notebooks at P25 each and a pack of chocolates, she
had P43 left. How much did the pack of chocolates cost?


Sagot :

Answer:

32

Step-by-step explanation:

25×3=75 spent for 3 notebook

150-75=75 money left after buying 3 notebooks

75-43=32

32 pesos is the price of chocolate

FINDING THE PRICE OF THE CHOCOLATE

Josie had ₱150 in her wallet when she entered a store. After buying 3 notebooks at ₱25 each and a pack of chocolates, she had ₱43 left. How much did the pack of chocolates cost?

  • Let x be the price of chocolate. Write it in a number sentence.

[tex]150 - ((3 \times 25) + x) = 43[/tex]

  • Solve the equation by using the PEMDAS rule.

[tex]150 - ((3 \times 25) + x) = 43 \\ 150 - (75 + x) = 43[/tex]

  • When there is a "number minus" infront of an expression in parentheses, change the sign of each term in the expression.

[tex]150 + (75 + x) = 43 \\ 150 - 75 - x = 43 \\ 75 - x = 43[/tex]

  • To find the value of x, transpose number 75 from left to right, don't also forget to negate the symbol after transposing.

[tex]75 - x = 43 \\ - x = 43 - 75 \\ - x = - 32[/tex]

  • Change the sign of both side of the equation.

[tex]- x = - 32 \\ \boxed{x = 32}[/tex]

  • Check

[tex]150 - ((3 \times 25) + 32) = 43 \\ \: \: \: \: \: \: \: \: \: \: \: 150 - (75 + 32) = 43 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 150 - 108= 43 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 43 = 43[/tex]

Thus, the price of the chocolate is ₱32.00

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