Respuesta :
Answer:
She sell 98 small cups and 57 large cups of each type.
Step-by-step 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 [tex]x.[/tex]
And the large cups be [tex]y.[/tex]
So, the total number of cups:
[tex]x+y=155[/tex]
[tex]x=155-y[/tex] ......(1)
Now, the total amount of cups of lemonade sold:
[tex]x(1.25)+y(2.50)=265[/tex]
[tex]1.25x+2.50y=265[/tex]
Putting the value of [tex]x[/tex] from equation (1) in the place of [tex]x[/tex] :
[tex]1.25(155-y)+2.50y=265[/tex]
[tex]193.75-1.25y+2.50y=265[/tex]
[tex]193.75+1.25y=265[/tex]
Subtracting both sides by 193.75 we get:
[tex]1.25y=71.25[/tex]
Dividing both sides by 1.25 we get:
[tex]y=57.[/tex]
Number of large cups = 57.
Now, putting the value of [tex]y[/tex] in equation (1):
[tex]x=155-y[/tex]
[tex]x=155-57[/tex]
[tex]x=98.[/tex]
Number of small cups = 98.
Therefore, she sell 98 small cups and 57 large cups of each type.
