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

Respuesta :

tramserran

Answer:  98 small cups and 57 large cups

Step-by-step explanation:

Use the information provided to create a system of equations:

                   Quantity     Cost      

Small cups:        x           $1.25x  

Large cups:       y           $2.50y          

         Total:      155         $265


Qty:    x   +  y   = 155 → -1.25(x + y = 155) → -1.25x - 1.25y = -193.75

Cost: 1.25x + 2.50y = 265              →           1.25x + 2.50y = 265.00

                                                                                  1.25y = 71.25

                                                                                         y = 57

Substitute "y" with "57" into either equation and solve for x:

x + y = 155

x + (57) = 155

x           = 98

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