Question

Ashley had a summer lemonade stand where she sold small cups of lemonade for 41.25 AND LARGE CUPS FOR $2.50. If Ashley solf a total of 155 cups of lemonade for $265, how many cups of each tpe did she sell?

Answer 1

Question:

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 did she sell

Answer:

The number of small cups of lemonades  is 98

The number of Large cups of lemonades is 57

Step-by-step explanation:

Given:

Cost of small lemonade  cups = $1.25

Cost of large Lemonade cups =  $2.50

Total number of lemonade cups  = 155 cups

The total cost for which the lemonade is sold =  $265

To Find:

Number of each types of lemonade sold = ?

Solution:

Let the number of small cups of lemonade sold be x

the number of large cups of lemonade sold be y

Then according to the question,

x+y = 155-----------------------------(1)

Then the amount earned by  selling small and large lemonade cups is $265

Then

1.25x+2.50y = 265------------------(2)

From (1)

y = 155-x----------------------------------(3)

Substituting (3) in (2), we get

1.25x+ (155-x)2.50 = 265

1.25 + (387.5 -2.50x) =265

-1.25x + 387.5 = 265

-1.25x= 265 -387.5

-1.25x =  -122.5

$x = \frac{-122.5}{-1.25}$

x= 98--------------------------------(4)

Substituting (4) in (3)

y = 155-98

y =57