Question

raju spent 8/9 of his pocket money.3/5 of the amount spent was spent on food.what fraction of his pocket money was spent on food​

Answer 1

Given:

Raju spent 8/9 of his pocket money. 3/5 of the amount spent was spent on food.

To find:

The fraction of his pocket money was spent on food​

Solution:

Let "x" represents the amount that Raju has as his pocket money.

Raju spent 8/9 of his pocket money.

∴ The total amount spent from his pocket money = $\frac{8}{9} \times x$

3/5 of the amount spent was spent on food.

∴ The amount that is spent on food is,

= $\frac{3}{5} \times Total \:amount\:spent$

= $\frac{3}{5} \times \frac{8}{9} \times x$

= $\frac{1}{5} \times \frac{8}{3} \times x$

= $\frac{8}{15} \times x$

= $\frac{8}{15} \times pocket \:money$

Thus, Raju spent $\underline{\bold{\frac{8}{15} }}$ of his pocket money on food.

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