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

Answer:

150 chicken eggs broke.

Step-by-step 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=$\frac{2}{5}\times600= 240$ 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=$\frac{8}{15}\times(600-x)$

=> $240= \frac{8}{15}\times(600-x)$

=> $8(600-x)=240\times15$

=> $4800-8x=3600$

=> $8x=1200$

x = 150

Hence, 150 chicken eggs broke.

Answer 2

Answer:

150 eggs were broken

Step-by-step 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