Math  /  Algebra

QuestionA radio station is giving away free cars to promote an upcoming concert. The station can spend up to $48,000\$ 48,000 to buy the cars. If each car costs $12,000\$ 12,000, how many cars will the radio station be able to give away? \square cars Submit Work it out

Studdy Solution

STEP 1

What is this asking? How many $12,000\$12,000 cars can we buy with $48,000\$48,000? Watch out! Don't forget, we can't buy parts of cars!

STEP 2

1. Calculate the number of cars.

STEP 3

We want to figure out how many cars we can buy.
We know the **total budget** is $48,000\$48,000 and each car costs $12,000\$12,000.
So, we're going to **divide** the total budget by the price of each car!
This makes sense because we're splitting the total money into chunks the size of a car's price.

STEP 4

Let's do the math! $48,000$12,000=4812 \frac{\$48,000}{\$12,000} = \frac{48}{12} We can simplify this fraction by dividing both the **numerator** and the **denominator** by 1212.
Dividing 4848 by 1212 gives us 44, and dividing 1212 by 1212 gives us 11. 4812=48÷1212÷12=41=4 \frac{48}{12} = \frac{48 \div 12}{12 \div 12} = \frac{4}{1} = 4

STEP 5

So, our **result** is 44.
This tells us that the radio station can buy **4 cars**.
Awesome!

STEP 6

The radio station can give away 44 cars.

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