#### Explanation:

The total is equal to the cost of the meal plus the cost of the meal times the ten percent which would equal the tip.

$x =$ the cost of the meal

x * 10% =  the tip

So

$24.20=x10%+x $24.2 = x \cdot 0.1 + x \text{ } \to$10% = 10/100 $24.2 = x \left(0.1 + 1\right)$$24.2 = 1.1 x$$\frac{24.2}{1.1} = x$$x = 22$Feb 12, 2018 The meal itself cost $22

#### Explanation:

This is an example of reverse percentage because you know the value AFTER an increase of 10% has taken place, but you do not know the original amount.

You can use direct proportion to compare the corresponding values and percentages.

The cost of just the meal, $x ,$ represents 100%

Once a tip of 10% is added on, the value represents 110%

We know that is $24.20 x/100 = 24.20/110" "(larr "dollars")/(larr "percent") $x = \frac{24.20 \times 100}{110}$x=$22

Check.:

10% of $22 =$2.20

$22+$2.20 = \$24.20