You went to the mall with $60. You spent 30% of your money on a pair of shorts. How much did you spend on the shorts?

Mathematics

1 answer:

Jet001 [13]2 years ago

4 0

Answer: $18

Step-by-step explanation:

You had a total of $60.

You spent 30% of your money on shorts.

The question would like to know what that 30% translates to in actual dollars so you need to find out what 30% of $60 is:

= 30% * 60

= $18

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getting home from trick or treat celia and emma counted their candies. half of celias candies is equal to 2/3 of emmas candies.

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Candies with celias and emmas is 60 and 45 respectively.

Solution:

Given, Getting home from trick or treat celia and emma counted their candies. Half of celias candies is equal to 2/3 of emmas candies.

They had a total of 105 candies altogether.

We have to find how many candies did each of them have.

Let the number of candies with celias be n, then number of candies with emma will be 105 – n.

Now according to given condition.

$\begin{array}{l}{\frac{1}{2} \times \text { celias candies count }=\frac{2}{3} \times \text { emmas candies count }} \\\\ {\rightarrow \frac{1}{2} \times n=\frac{2}{3} \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 n=4(105-n)} \\\\ {\quad \rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n+4 n=420} \\\\ {\rightarrow 7 n=7 \times 60} \\\\ {\rightarrow n=60}\end{array}$