She sold 98 small cups and 57 large cups
Step-by-step explanation:
Ashley had a summer lemonade stand
We need to find how many cups of each type she sold
Assume that Ashley sold x small cups and y large cups of lemonade
∵ Ashley sold x small cups of lemonade
∵ She sold y large cups of lemonade
∵ Ashley sold a total of 155 cups
∴ x + y = 155 ⇒ (1)
∵ The price of the small cup = $1.25
∵ The price of the large cup = $2.5
∵ The price of the all cups = $265
- Multiply x by 1.25 and y by 2.5 and add the two products,
then equate the sum by 265
∴ 1.25x + 2.5y = 265 ⇒ (2)
Now we have a system of equations to solve it
Multiply equation (1) by -2.5 to eliminate y
∵ -2.5x - 2.5 y = -387.5 ⇒ (3)
- Add equations (2) and (3)
∴ -1.25x = -122.5
- Divide both sides by -1.25
∴ x = 98
- Substitute the value of x in equation (1) to find y
∵ 98 + y = 155
- Subtract 98 from both sides
∴ y = 57
She sold 98 small cups and 57 large cups
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
#LearnwithBrainly
