SOLUTION: Please HELP!! 3 loaves of bread and 2 jars of peanut butter cost $5.49. 4 loaves of bread and 3 jars of peanut butter cost $7.75. Find the price of a loaf of bread and a jar of pe

Question 87487: Please HELP!!
3 loaves of bread and 2 jars of peanut butter cost $5.49. 4 loaves of bread and 3 jars of peanut butter cost $7.75. Find the price of a loaf of bread and a jar of peanut butter.
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=price of a loaf of bread
And y=cost of a jar of peanut butter
Now we are told that:

3x+2y=$5.49-------------------------------------------------eq1
We are also told that:
4x+3y=$7.75--------------------------------------------------eq2
multiply each term in eq1 by 3 and we get:
9x+6y=$16.47----------------------------------eq1a
multiply each term in eq2 by 2 and we get:
8x+6y=$15.50----------------------------------eq2a
subtract eq2a from eq1a and we have:
x=$0.97--------------------------------price of a loaf of bread
substitute x=$0.97 into eq1 and we have:
3($0.97)+2y=$5.49 get rid of parens
$2.91+2y=$5.49 subtract $2.91 from both sides
$2.91-$2.91+2y=$5.49-$2.91 collect like terms
2y=$2.58 divide both sides by 2
y=$1.29-----------------------------------price of a jar of peanut butter
CK
from eq1:
3($0.97)+2($1.29)=$5.49
$2.91+$2.58=$5.49
$5.49=$5.49
from eq2
4($0.97)+3($1.29)=$7.75
$3.88+$3.87=$7.75
$7.75=7.75

Hope this helps---ptaylor

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