# Janet ate 14 pieces of pizza. 2/9 of the pizza remains. How many pieces of pizza were there original…

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### Tanong

Janet ate 14 pieces of pizza. 2/9 of the pizza remains. How many pieces of pizza were there originally?

### Mga sagot sa #1 sa Tanong: Janet ate 14 pieces of pizza. 2/9 of the pizza remains. How many pieces of pizza were there originally?

Let x be the original pieces of pizza.

Janet ate 14 pieces/slices

Remaining pizza: 2/9 (x)

**Equation:**

14 + (2/9)(x) = x

**Multiply each term by LCD 9:**

(9)(14) + (9)(2/9)(x) = (9)(x)

126 + 2x = 9x

126 = 9x - 2x

126 = 7x

7x/7 = 126/7

x = 18

**ANSWER: There were 18 pieces of pizza.**

Check:

14 + (2/9)(18) = 18

14 + 4 = 18

18 = 18 (true)

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