Answer: 54 lattes were sold
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations with the information given:
If each latte costs $4 , each cappuccino cost $3, and sales totaled $252:
4 x + 3y = 252
Where
x = number of lattes
y = number of cappuccinos
The number of lattes sold was 6 more than 4 times the number of cappuccinos. Mathematically speaking:
x = 4y +6
Now, we have the system:
a)4 x + 3y = 252
b)x = 4y +6
Replacing the value of x in a) for b):
4 (4y +6) +3y =252
16y +24 +3y =252
16y +3y =252 -24
19y = 228
y= 228/19
y = 12
Replacing the value of "y” in b ) for the value obtained:
b)x = 4y +6
x = 4 (12) +6
x = 48+6 = 54
x =54
So , 54 lattes were sold.
