Question

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. How many pies does the baker have left?

Answer 1

The number of pies does the baker have left is 15.

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 =
`(1)/(4)`

One-third =
`(1)/(3)`

One-sixth =
`(1)/(6)`

i.e.
`x=20-(20* (1)/(4)+20* (1)/(3)+20* (1)/(6))`

`x=20-(5+20* (1)/(3)+10* (1)/(3))`

`x=20-(5+(20+10)/(3))`

`x=20-(5+ (30)/(3))`

`x=20-(5+10)`

`x=20-(15)`

`x=5`

The number of pies does the baker have left is 15.