Question

Hobby Shop is selling model cars and model trucks for 50% off this week. At the sale price, you can buy one car and one truck for $13.00. Also at the sale price, you can buy 4 trucks and 2 cars for $42.00. What is the sale price and the original price of the model car and the model truck?

Answer 1

Answer:

The truck original price is $16.00 and the car price is $5.00.

The truck sale price is $8.00 and the car price is $10.00.

Step-by-step explanation:

We need to find the original price of the truck (T) and car (C)

Sale price of the truck is 50% so that means it is half the original price.

Now let's see the equations we can come up with there:

At sale price:

$T + C = \ 13.00\\\\4T + 2C = \ 42.00$

We can solve this through substitution.

Using the first equation, we can come up with an equation for one of the missing variables.

$T + C =\ 13.00\\\\C = \ 13.00 - T$

We can use this equation on the second one, to solve for one variable. $4T + 2C = \ 42.00\\\\4T + 2(\ 13.00-T) = \ 42.00\\\\4T + \ 26.00 - 2T = \ 42.00\\\\4T - 2T = \ 42.00 - \ 26.00\\\\2T = \ 16.00\\\\\dfrac{2T}{2}=\dfrac{\ 16.00}{2}\\\\T = \ 8.00$

The sale price of the model truck is $8.00.

Now can use this on the first equation again.

$T + C = \ 13.00\\\\\ 8.00 + C = \ 13.00\\\\C = \ 13.00 - \ 8.00\\\\C = \ 5.00$

The sale price of the model car is $5.00.

Because it is 50% off on both models, the original price is twice the sale price. So we can solve it by multiplying the sale prices by 2.

Original price of model truck: $8.00 x 2 = $16.00

Original price of model car: $5.00 x 2 = $10.00

Answer 2

Answer:

The truck's original is $16. The sale price is $8. The car's original is $10. It's sale is $5.

Step-by-step explanation:

Please give me five stars, heart, and mark me brainliest! The other guy is incorrect.