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