Answer:
they sold 210 hot chocolates and 85 coffees
Step-by-step explanation:
We know that they sold $200 worth of drinks
x will be the number of hot chocolates sold
y will be the number of coffees sold
This means that
.75x+.5y=200
We also know that they sold 295 total drinks which means that
x+y=295
This is a system of linear equations which I will solve through substitution
x+y=295
Subtract y from both sides and divide by -1 to get
-x+295=y
Plug y into the first equation and get
.75x+.5(-x+295)=200
Distribute the .5 and simplify to get
.75x-.5x+147.5
.25x+147.5=200
Subtract 147.5 and then divide by .25 to get our x value
x=210
Now we can go back and plug this in into our equation
210+y=295
Subtract 210 to get y
y=85
This means that they sold 210 hot chocolates and 85 coffees
