## Problem Solving

 2.5 Problem Solving
 EXAMPLE 1

The recipe to make chocolate chip muffins is as shown. $$\dfrac{3}{4}$$cup of chocolate chips is needed to produce 12 muffins. Zara tried the recipe and used only half of the flour. How many chocolate chips did Zara use?

 A Recipe for Chocolate Chip Muffins (12 pieces) 2 cups of flour $$\frac{1}{2}$$ cup of granulated sugar 3 teaspoons of baking powder $$\frac{1}{2}$$ teaspoon of milk $$\frac{1}{3}$$ cup of cooking oil 1 egg $$\frac{3}{4}$$ cup of chocolate chips 3 tablespoons of white sugar 2 tablespoons of brown sugar

SOLUTION:

$$\dfrac{1}{2}\times\dfrac{3}{4}=\dfrac{1\times3}{2\times4}\\ \quad\quad\quad=\dfrac{3}{8}$$

 EXAMPLE 2

Damia has $$1\dfrac{1}{2} m$$ of ribbon. She uses $$\dfrac{1}{3}$$of the ribbon to decorate her mother's gift box. What is the length of the ribbon that she uses?

SOLUTION:
$$\quad\quad\quad\quad\quad\quad\small{\color{red}1}\\ \dfrac{1}{3}\times1\dfrac{1}{2}=\dfrac{1}{\cancel3}\times\dfrac{\cancel3}{2}\\ \quad\quad\quad\quad\quad\small{\color{red}1}\\ \quad\quad\quad\quad=\dfrac{1}{1}\times\dfrac{1}{2}\\ \quad\quad\quad\quad=\dfrac{1}{2}$$

## Problem Solving

 2.5 Problem Solving
 EXAMPLE 1

The recipe to make chocolate chip muffins is as shown. $$\dfrac{3}{4}$$cup of chocolate chips is needed to produce 12 muffins. Zara tried the recipe and used only half of the flour. How many chocolate chips did Zara use?

 A Recipe for Chocolate Chip Muffins (12 pieces) 2 cups of flour $$\frac{1}{2}$$ cup of granulated sugar 3 teaspoons of baking powder $$\frac{1}{2}$$ teaspoon of milk $$\frac{1}{3}$$ cup of cooking oil 1 egg $$\frac{3}{4}$$ cup of chocolate chips 3 tablespoons of white sugar 2 tablespoons of brown sugar

SOLUTION:

$$\dfrac{1}{2}\times\dfrac{3}{4}=\dfrac{1\times3}{2\times4}\\ \quad\quad\quad=\dfrac{3}{8}$$

 EXAMPLE 2

Damia has $$1\dfrac{1}{2} m$$ of ribbon. She uses $$\dfrac{1}{3}$$of the ribbon to decorate her mother's gift box. What is the length of the ribbon that she uses?

SOLUTION:
$$\quad\quad\quad\quad\quad\quad\small{\color{red}1}\\ \dfrac{1}{3}\times1\dfrac{1}{2}=\dfrac{1}{\cancel3}\times\dfrac{\cancel3}{2}\\ \quad\quad\quad\quad\quad\small{\color{red}1}\\ \quad\quad\quad\quad=\dfrac{1}{1}\times\dfrac{1}{2}\\ \quad\quad\quad\quad=\dfrac{1}{2}$$