Question

PLEASE HELP!!

Melanie is raising money for a school trip by selling candy bars and bags of chips. The price of each candy bar is $1.50 and the price of each bag of chips is $1.25. Yesterday Melanie made $33.25 and sold 13 more candy bars than bags of chips. Determine the number of candy bars sold and the number of bags of chips sold.

Answer 1

18 candy bars sold.

5 bag of chips sold.

Explanation:

To determine the number of candy bars sold and the number of bags of chips sold, we can set up and solve a system of equations.

Define the variables:

• Let x be the number of candy bars sold.
• Let y be the number of bags of chips sold.

Given the price of each candy bar is $1.50, the price of each bag of chips is $1.25, and the total Melanie made was $33.25:

`1.50x+1.25y=33.25`

Given Melanie sold 13 more candy bars than bags of chips:

`x=y+13`

Therefore, the system of equations is:

`\begin{cases}1.50x+1.25y=33.25\\x=y+13\end{cases}`

To solve the system of equations, substitute the second equation into the first equation to eliminate x:

`1.50(y+13)+1.25y=33.25`

Solve for y:

`\begin{aligned}1.50(y+13)+1.25y&=33.25\\1.50y+19.5+1.25y&=33.25\\2.75y+19.5&=33.25\\2.75y&=13.75\\y&=5\end{aligned}`

Therefore, Melanie sold 5 bags of chips.

To find the number of candy bars sold, we can substitute the found value of y = 5 into the second equation and solve for x:

`x=5+13`

`x=18`

Therefore, Melanie sold 18 candy bars.