Question

Ashley had a summer lemonade stand where she sold small cups of lemonade for a $25 in large cups for to 50 if Ashley sold a total of a 155 cups of lemonade for $265 how many cups of each did type did she sell

Answer 1

She sell 98 small cups and 57 large cups of each type.

Explanation:

There is a mistake in the question so the correct question is below:

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large cups for $2.50. If ashley sold a total of 155 cups of lemonade for $265, how many cups of each type did she sell?

Now, to find the number of cups of each type.

Let the number of small cups be
`x.`

And the large cups be
`y.`

So, the total number of cups:

`x+y=155`

`x=155-y` ......(1)

Now, the total amount of cups of lemonade sold:

`x(1.25)+y(2.50)=265`

`1.25x+2.50y=265`

Putting the value of
`x` from equation (1) in the place of
`x` :

`1.25(155-y)+2.50y=265`

`193.75-1.25y+2.50y=265`

`193.75+1.25y=265`

Subtracting both sides by 193.75 we get:

`1.25y=71.25`

Dividing both sides by 1.25 we get:

`y=57.`

Number of large cups = 57.

Now, putting the value of
`y` in equation (1):

`x=155-y`

`x=155-57`

`x=98.`

Number of small cups = 98.

Therefore, she sell 98 small cups and 57 large cups of each type.