Question

Marcia sells lemonade for $2 per cup and candy for $1.50 per candy bar. She earns $425 selling lemonade and candy bars. If Marcia sold 90 bars of candy, which equation could be used to figure out how many cups of lemonade she sold?​

Answer 1

145 cups of lemonade; 2x+1.50y=425, where y=90

Explanation:

Let us first set up an equation, where x represents number of cups of lemonande, and y represents number of candy bars. We know that every cup of lemonade costs $2, every candy bar sold costs $1.50, and that Marcia sold a total of $425. We now have equation:

`2x+1.50y=425`

However, we actually know how many candy bars Marcia sold. Therefore, our y value is 90. Let's rewrite the equation:

`2x+1.50*90=425\\2x+135=425\\2x=290\\x=145`

Therefore, Marcia sold 145 cups of lemonade.

I hope this helps! Let me know if you have any questions :)