Erin bought 3 gallons of juice and 7 pounds of carrots and spent 4.80. jerry bought 5 gallons of juice and 6 pounds of carrots and spent 6.30. Represent the information as a pair of linear equations and determine the cost of 1 pound of carrots and the cost of a gallon of juice. please help!!!!!!!!

Question

Erin bought 3 gallons of juice and 7 pounds of carrots and spent 4.80. jerry bought 5 gallons of juice and 6 pounds of carrots and spent 6.30. Represent the information as a pair of linear equations  and determine the cost of 1 pound of carrots and the cost of a gallon of juice. please help!!!!!!!!

anonymous · Answer

First figure out what you need to find out.

anonymous · Answer

You need to know a) the cost of 1 pound of carrots and b) the cost of a gallon of juice.

anonymous · Answer

So, what you don't know should represented as the variables. Make one y and one x.

anonymous · Answer

y=3x(7)4.80?

anonymous · Answer

Okay, why don't we think of this in words first? Let's say that the cost of a gallon of juice is x, and the cost of a pound of carrots is y.

anonymous · Answer

ok

anonymous · Answer

Now Erin bought 3 gallons and 7 pounds, bringing his total cost up to 3x and 7y, correct? Since we know that this total is equal to 4.80, that means that 3x + 7y = 4.80. Do you understand why?

anonymous · Answer

yes because the carrots and juice is representative of the 3 and the 7

anonymous · Answer

Right. So knowing that, can you make an equation for Jerry's purchase now?

anonymous · Answer

well jerry's would be the 5x-6=6.30

anonymous · Answer

I think you made a typo there.

anonymous · Answer

haha yeah i did

anonymous · Answer

wait so jerry bought 5 gallons of juice and 6 pounds of carrots and spent 6.30

anonymous · Answer

Yes.

anonymous · Answer

so 5x+6y=6.30

anonymous · Answer

Exactly. Now, you can apply the same concept as the last question to isolate y, then combine the equations to solve for x.

anonymous · Answer

ohh ok