Question

Hannah has to make 25 gallons of punch for a potluck. The punch is made of soda and fruit drink. The cost of the soda is $1.79 per gallon, and the cost of the fruit drink is $2.49 per gallon. Hannah's budget requires that the punch cost $2.21 per gallon. How many gallons of soda and how many gallons of fruit drink does she need?

Answer 1

Hannah needs 10 gallons of soda and 15 gallons of fruit drink

Explanation:

Let

x -----> the number of gallons of soda needed

y ----> the number of gallons of fruit drink needed

we know that

`x+y=25` -----> equation A

`1.79x+2.49y=2.21(25)`

`1.79x+2.49y=55.25` -----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

The solution is the point (10,15)

see the attached figure

therefore

Hannah needs 10 gallons of soda and 15 gallons of fruit drink