Agift 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, and packages of bread mix cost $5 each. write and solve a system of linear equations to find the number of jars of jam and the number of packages of bread mix in the gift basket. let x represent the number of jars of jam and let y represent the number of packages of bread mix. system of equations:

Define jam and bread mix

Let the number of jar of jam be x
Let the number of packages of bread mix be y


Form equations and solve

x + y = 8 (1)
6x + 5y = 45 (2)


Rewrite equation to make x the subject

x+ y = 8
x = 8 - y (1a)


Substitute (1a) into (2)

6(8 - y) + 5y = 45
48 - 6y + 5y = 45
y = 48 - 45
y = 3


Substitute y = 3 into (1) to find x

x + 3 = 8
x  = 8 - 3
x = 5


Find jam and bread mix

Jars of Jam = x = 5
Packages of bread mix = y = 3


Jam = 5 ; bread mix = 3