Question

An egg seller ordered 600 duck eggs and chicken eggs altogether. The number of duck eggs was 2/5 of the total number of eggs. Some chicken eggs broke during delivery and the number of duck eggs became 8/15 of the total number of eggs. How many chicken eggs were broken?

Answer 1

150 eggs were broken

Explanation:

Number of duck eggs = 2/5 * 600 = 240

Number of chicken eggs = 600 - 240 = 360

Total number of duck eggs after delivery = 240x 8/15 = 450

Remaining chicken eggs =450-240=210

So broken chicken eggs= 360-210=150

Answer 2

150 chicken eggs broke.

Explanation:

Let chicken eggs be represented by = c

Let duck eggs be represented by = d

An egg seller ordered 600 duck eggs and chicken eggs altogether.

`c+d=600`

The number of duck eggs was 2/5 of the total number of eggs.

=> d=
`(2)/(5)*600= 240` eggs.

So, c=
`600-240=360`

Some chicken eggs broke during delivery and the number of duck eggs became 8/15 of the total number of eggs.

Let x eggs broke.

Remaining were
`600-x`

And d=
`(8)/(15)*(600-x)`

=>
`240= (8)/(15)*(600-x)`

=>
`8(600-x)=240*15`

=>
`4800-8x=3600`

=>
`8x=1200`

x = 150

Hence, 150 chicken eggs broke.