Ratios and Percents Online Practice

Question

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4 of 124 of 12 Items

Question
Use the image to answer the question.

An illustration shows a set of three adjacent rectangles labeled as Brayden. Another single rectangle is labeled Dominic and is placed below Brayden. All rectangles have the same dimensions. A bracket on the right side encompasses both sets and points to the number 48.

Brayden and Dominic both babysit on the weekend. This weekend Brayden and Dominic earned money in a ratio of 3:1
. If the boys earned a total of $48, how much did Dominic earn?

(1 point)
Responses

$16
$16

$36
$36

$12
$12

$48
$48
Remaining Attempts : 3
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Answer 1

To solve the problem, we need to use the provided ratio of earnings between Brayden and Dominic and the total amount of money they earned.

The ratio of Brayden's earnings to Dominic's earnings is 3:1. This means that for every 3 parts that Brayden earns, Dominic earns 1 part.

Let’s denote Brayden's earnings as 3x and Dominic's earnings as 1x.

The total earnings can be expressed as: \[ 3x + 1x = 48 \]

This simplifies to: \[ 4x = 48 \]

Now, divide both sides by 4 to find x: \[ x = 48 / 4 \] \[ x = 12 \]

Now, we can determine Dominic's earnings, which is represented by 1x: \[ 1x = 1(12) = 12 \]

Therefore, Dominic earned $12.

So the answer is: $12