SOLUTION: A gift basket contains jars of jam and bread mix that costs $45. There are 8 items in the basket. Jam costs $6 and bread mix costs $5. Write and solve linear equations to find the

Question 1069635: A gift basket contains jars of jam and bread mix that costs $45. There are 8 items in the basket. Jam costs $6 and bread mix costs $5. Write and solve linear equations to find the jars of jam and packs of bread mix in the basket. Let x = jars of jam, and y = packs of bread mix
What are the system of equations?
There are how many jars of jam?
There are how many packs of bread mix?
I am lost after putting together the 1st equation 6x+5y=45 is the other x+y=8??? Please help
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
No reason to be lost. The equations appear good.

Account for how many items in the basket:

Account for the resulting basket price:

-
Look at the units.

So no trouble in the units.

The system should be plainly obvious:

Find the intersection of the two lines. Same as find the x and y combination that satisfies both equations. Substitution Method, if that is the only way you know; or Elimination Method, if you prefer it.

--
Multiply first equation by 5, revise system:

Subtract first from second:

-
Return to simpler item count equation, .
Find y.

RESULT:
x=5 jars of jam
and
y=3 bread-mixes
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