Answer: 60 cappuccinos were sold.
Explanation:
x = number of lattes sold
y = number of cappuccinos sold
Two equations can be set up:
x + y = 78
4x + 3y = 252
The first equation can be rearranged and substituted into the other equation to find the value of a variable.
y = 78 - x
4x + 3(78 - x) = 252
4x + 234 - 3x = 252
x + 234 = 252
x = 18
To find y, the value of x can be substituted into either equation.
x + y = 78
18 + y = 78
y = 60
To check answers, substitute both values into the original equations and make sure they work.
x + y = 78
18 + 60 = 78
78 = 78
4x + 3y = 252
4(18) + 3(60) = 252
72 + 180 = 252
252 = 252
