Question

Mrs Klein made fruit buns. She sold 3/5 of it in morning and 1/4 in the afternoon. If she sold 200 more buns in the morning than afternoon, how many buns did she make?

Answer 1

The total number of buns Mrs Klein made = 400

Explanation:

Question

Mrs Klein made fruit buns. She sold 3/5 of it in morning and 1/4 of the remaining in the afternoon. If she sold 200 more buns in the morning than afternoon, how many buns did she make?

Given:

Mrs Klein sold
`(3)/(5)` of the buns in the morning.

Mrs Klein sold
`(1)/(4)` of the remaining buns in the evening.

She sold 200 more buns in the morning than afternoon.

To find the total number of buns she make.

Solution:

Let the total number of buns be =
`x`

Number of buns sold in the morning will be given as =
`(3)/(5)x`

Number of buns remaining =
`x-(3)/(5)x`

Number of buns sold in the evening will be given as =
`(1)/(4)(x-(3)/(5)x)`

Difference between the number of buns sold in morning and evening = 200

Thus, the equation to find
`x` can be given as:

`(3)/(5)x-(1)/(4)(x-(3)/(5)x)=200`

Using distribution:

`(3)/(5)x-(1)/(4)x+((1)/(4).(3)/(5)x)=200`

`(3)/(5)x-(1)/(4)x+(3)/(20)x=200`

Multiplying each term with the least common multiple of the denominators to remove fractions.

The L.C.M. of 4, 5 and 20 = 20.

Multiplying each term with 20.

`20* (3)/(5)x-20*(1)/(4)x+20*(3)/(20)x=20* 200`

`12x-5x+3x=4000`

`10x=400`

Dividing both sides by 10.

`(10x)/(10)=(4000)/(10)`

∴
`x=400`

Thus, total number of buns Mrs Klein made = 400