Answer:
She sells 4 loaves of bread
Step-by-step explanation:
Lets explain how to solve the problem
→ A baker uses [tex]13\frac{1}{2}[/tex] cups of flour to make bread
→ She uses [tex]2\frac{1}{4}[/tex] cups of flour to make each loaf
From these information we can find the number of loaves of bread
she can make
∵ There are [tex]13\frac{1}{2}[/tex] cups of flour
∵ Each loaf of bread needs [tex]2\frac{1}{4}[/tex] cups of flour
∴ The number of loaves = [tex]13\frac{1}{2}[/tex] ÷ [tex]2\frac{1}{4}[/tex]
To divide two mixed numbers make them improper fractions and
change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∵ [tex]13\frac{1}{2}[/tex] = [tex]\frac{(13)(2)+1}{2}[/tex]
∴ [tex]13\frac{1}{2}[/tex] = [tex]\frac{27}{2}[/tex]
∵ [tex]2\frac{1}{4}[/tex] = [tex]\frac{(2)(4)+1}{4}[/tex]
∴ [tex]2\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]
∴ The number of loaves = [tex]\frac{27}{2}[/tex] × [tex]\frac{4}{9}[/tex]
∴ The number of loaves = 6
She can make 6 loaves
→ The baker sells [tex]\frac{2}{3}[/tex] of the loaves of bread that she makes
→ We need to find the number of loves of bread she sells
∵ She sells [tex]\frac{2}{3}[/tex] of the loaves
∵ There are 6 loves
∴ The number of loaves she sells = 6 × [tex]\frac{2}{3}[/tex] = 4
She sells 4 loaves of bread
