A store is having a sale on trail mix and jelly beans. For 9 pounds of trail mix and 7 pounds of jelly beans, the total cost is 53 . For 3 pounds of trail mix and 5 pounds of jelly beans, the total cost is 25. Find the cost for each pound of trail mix and each pound of jelly beans.

Question

Supremesavage · Answer

what do u think??

ramirez010202 · Answer

i honestly dont have a clue

Supremesavage · Answer

ok so...

Supremesavage · Answer

@sealake101

sealake101 · Answer

ok so what do u think would be the best step to do first?

ramirez010202 · Answer

i suck at math i really dont have even a bit of a guess

sealake101 · Answer

so we should probally find the total cost of the jelly beans

sealake101 · Answer

then the trail mix then u divide it to see how much each pound costs

sealake101 · Answer

ok?

jimthompson5910 · Answer

x = cost of 1 pound of trail mix
y = cost of 1 pound of jelly beans

We're told that "For 9 pounds of trail mix and 7 pounds of jelly beans, the total cost is 53"
So we can form this equation
9x+7y = 53

Also, we're told that "For 3 pounds of trail mix and 5 pounds of jelly beans, the total cost is 25"
leading to this equation
3x+5y = 25

The system of equations we need to solve is
9x+7y = 53
3x+5y = 25