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grigory [225]
3 years ago
15

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, 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:
Mathematics
1 answer:
poizon [28]3 years ago
7 0
------------------------------------------------------
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)

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Rewrite equation to make x the subject
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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

------------------------------------------------------
Answer: Jam = 5 ; bread mix = 3
------------------------------------------------------
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