she small sold cups of lemonade for $1.25 and Large cups for $2.15 Ashley sold a total of 155 cups of lemonade for $265 how many cups of each type did she sell

Respuesta :

Answer:

The answer to your question is she bought 79 large cups and 76 small cups.

Step-by-step explanation:

Data

small cups = s = $1.25

large cups = l = $2.15

total number of cups = 155

total money = $265

Process

1.- Write 2 equations to solve the problem

                        s  +  l = 155

                    1.25s + 2.15l = 265

2.- Solve by substitution

                        s = 155 - l

                        1.25(155 - l) + 2.15l = 265

                         193.75 - 1.25l + 2.15l = 265

                         -1.25l + 2.15l = 265 - 193.75

                                     0.9l = 71.25

                                           l = 71.25/0.9

                                          l = 79

                         s = 155 - 79

                         s = 76