Question

Rayyan spent 2/3 of his money on food and 1/4 of the remainder on desserts. If he spent $18 on food, how much did he spend on desserts?

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Answer 1

Answer:

money spent on dessert is 2.25 dollars

Step-by-step explanation:

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Answer 2

Given:

Rayyan spent 2/3 of his money on food and 1/4 of the remainder on desserts.

He spent $18 on food,

Solution:

Assume that Rayyan has $\[\ x\]$,

Given that Rayyan spent 2/3 of his money on food,

$\[\begin{array}{l}\therefore \frac{{2x}}{3} = \ 18\\ \Rightarrow x = \ 27\end{array}\]$

Remaining amount,

$\[\begin{array}{l} = \ 27 - \ 18\\ = \ 9\end{array}\]$

Now 1/4 of the remainder on desserts,

$\[\begin{array}{l} = \frac{9}{4}\\ = \ 2.25\end{array}\]$

Hence, he spend $2.25 on desserts.