Question

Your neighborhood is getting ready for its annual block party! Jack and Regina are in charge of bringing/supplying food beverages. Jack is going to make rainbow sherbert punch by mixing ginger ale and cranberry juice. Regina will then float a quart of rainbow sherbert on top. Ginger ale costs $2 per gallon, and cranberry juice costs $5 per gallon. The neighborhood has budgeted $120 for the ginger ale and juice. What are the different amounts of ginger ale and juice that Jack and Regina can buy with $120 and have no money left over?

Answer 1

Answer and Explanation:

1. What are the different amounts of ginger ale and juice that Jack and Regina can buy with $120 and have no money left over

To find this we use the equation in question 3, we first make am unknown say y the subject of the formula:

Y= 2/5x+24

If x = 10

Y= -2/5*10+24=20

Therefore 10 gallons of ginger ale and 20 gallons of cranberry juice will exhaust the $120 completely with nothing left

2. The variables are gallons of ginger ale and gallons of cranberry juice, represented x and y respectively

3. Given that each gallon of ginger ale costs $2 and each gallon of cranberry juice costs $5 and budget is $120, the equation to represent this would be 2x +5x=120

4. To find x, y intercept we plug 0 into the equation in the first answer, example if x =0

Y=-2/5*0+24=24 cranberry gallons only and not more than with current budget of $120

If y=0,x=

0=-2/5x+24=60 ginger ale gallons and not more than with the budget