Answer:
jars of jam = 5, packages of bread mix = 3
Step-by-step explanation:
Given:
A gift basket that contains jars of jam and packages of bread mix costs $45.
There are 8 items in the basket.
Jars of jam cost $6 each.
Packages of bread mix cost $5 each.
Question asked:
We have to find the number of jars of jam and the number of packages of bread mix in the gift basket.
Solution:
Let the number of jars of jam = [tex]x[/tex]
As there are total 8 items in the basket:
Then, the number of packages of bread mix = [tex]8-x[/tex]
As given, total cost of gift basket is $45:
Number of jars of jam [tex]\times[/tex] cost of each jar + Number of packages of bread mix [tex]\times[/tex] cost of each packet = $45
[tex]x\times6+(8-x)\times5=45\\6x+40-5x=45\\x+40=45\\[/tex]
Subtracting both sides by 40,
[tex]x+40-40=45-40\\x=5[/tex]
The number of jars of jam = [tex]x[/tex] = 5
Then, the number of packages of bread mix = [tex]8-x[/tex] = 8 - 5 = 3
Therefore, 5 jars of jam and 3 packages of bread mix are there in the gift basket.
Answer:
5 jams and 3 bread mixes
Step-by-step explanation:
first we can say that
the number of jars is x
number of bread mixes is y
so we can set up our equation
x+y=8
6x+5y=45
so now we can set up substitution
x=8-y
now we can substitute 8-y in for the x's
so
6(8-y)+5y=45
distribute
48-6y+5y=45
simplify
48-y=45
-y=-3
y=3
now plug that in
x+3=8
x=5
