Respuesta :
Answer:
The number of pies does the baker have left is 15.
Step-by-step explanation:
Given : A baker made 20 pies. A Boy Scout troop buys one–fourth of his pies, a preschool teacher buys one–third of his pies, and a caterer buys one–sixth of his pies.
To find : How many pies does the baker have left?
Solution :
Let x be the number of pies does the baker have left.
According to question,
Number of pies buys,
One-fourth =[tex]\frac{1}{4}[/tex]
One-third =[tex]\frac{1}{3}[/tex]
One-sixth =[tex]\frac{1}{6}[/tex]
i.e. [tex]x=20-(20\times \frac{1}{4}+20\times \frac{1}{3}+20\times \frac{1}{6})[/tex]
[tex]x=20-(5+20\times \frac{1}{3}+10\times \frac{1}{3})[/tex]
[tex]x=20-(5+\frac{20+10}{3})[/tex]
[tex]x=20-(5+ \frac{30}{3})[/tex]
[tex]x=20-(5+10)[/tex]
[tex]x=20-(15)[/tex]
[tex]x=5[/tex]
The number of pies does the baker have left is 15.
