Let's denote the number of times Hailey's songs were played in commercials as $ C $ and the number of times her songs were played in movies as $ M $.

From the problem, we have two key pieces of information:
1. Hailey's songs were played 4 times as many commercials as movies.
2. Her total earnings from all commercials and movies were $440.

We can translate these pieces of information into the following equations:

1. $ C = 4M $
2. $ 30C + 100M = 440 $

Now, let's solve these equations step by step.

First, substitute the expression for $ C $ from the first equation into the second equation:

$$ 30(4M) + 100M = 440 $$

Simplify the equation:

$$ 120M + 100M = 440 $$

Combine like terms:

$$ 220M = 440 $$

Solve for $ M $:

$$ M = \frac{440}{220} $$
$$ M = 2 $$

Now that we have the value of $ M $, we can find $ C $ using the first equation:

$$ C = 4M $$
$$ C = 4(2) $$
$$ C = 8 $$

So, the number of commercials on which Hailey's songs were played is 8, and the number of movies on which her songs were played is 2.

Question

Let's denote the number of times Hailey's songs were played in commercials as $ C $ and the number of times her songs were played in movies as $ M $.

From the problem, we have two key pieces of information:
1. Hailey's songs were played 4 times as many commercials as movies.
2. Her total earnings from all commercials and movies were $440.

We can translate these pieces of information into the following equations:

1. $ C = 4M $
2. $ 30C + 100M = 440 $

Now, let's solve these equations step by step.

First, substitute the expression for $ C $ from the first equation into the second equation:

$$ 30(4M) + 100M = 440 $$

Simplify the equation:

$$ 120M + 100M = 440 $$

Combine like terms:

$$ 220M = 440 $$

Solve for $ M $:

$$ M = \frac{440}{220} $$
$$ M = 2 $$

Now that we have the value of $ M $, we can find $ C $ using the first equation:

$$ C = 4M $$
$$ C = 4(2) $$
$$ C = 8 $$

So, the number of commercials on which Hailey's songs were played is 8, and the number of movies on which her songs were played is 2.

Knowee AI · Accepted Answer