Question

PLLEEAASSEE HELP ME!!!!! 20 POINTS AND BRAINLIEST ANSWER

Holly made fruit punch for an office party a few months ago; she used 1 gallon of strawberry juice and 3 gallons of watermelon juice, which cost her a total of $8. For today’s party, she used 3 gallons of strawberry juice and 2 gallons of watermelon juice, spending a total of $10. How much does a gallon of each type of juice cost? Write a system of equations to describe the situation and solve using elimination. (use x for strawberry juice and y for watermelon juice)

Answer 1

1x+3y=8
3x+2y=10

solve

multiply first equation by -3 and add to 2nd equation

-3x-9y=-24
3x+2y=10 +
0x-7y=-14

-7y=-14
divide by -7 both sides
y=2

sub back
x+3y=8
x+3(2)=8
x+6=8
minus 6
x=2

wow

both juices cost $2 per gallon