Question

While in the store, your father purchases drinks for the six people in your van. Part of your

family wants coffee and the rest want soda.
6. Coffee in the store costs $1.50 per cup and sodas are $1.20 each. The cost of the drinks before tax was $8.40.
a. Write a mathematical model that represents the total number of cups of coffee and
sodas.
b. Write a mathematical model that represents the cost of the coffee and soda.
c. Solve the system of equations using the elimination method.​

Answer 1

Answer: (2,4) They bought 2 sodas and 4 coffees.

Explanation:

A. c + s=6 where c is the number of coffee and s is the number of sodas

B. 1.50c + 1.20s =8.40

C. -1.50 (c + s) =6(-1.50) we will multiply the first equation by -1.50 to eliminate the c

New equation; -1.50 - 1.50s = -9 -0.3s/-0.3=-0.6/-0.3 s=2

-150 + 1.20s = 8.40

So we know they bought 2 sodas. so we will plot 2 into the equation.

1.50c + 1.20(2)=8.40 c= 4