A gift basket that contains jars of jam and packages of muffin mix costs $45. There are eight items in the basket. Jars of jam cost $6 each and packages of muffin mix cost $5 each. Write and solve a system of equations to find the number of jars of jam and number of muffin mix

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absor201 absor201 · Answer 1 · 2019-12-13T11:52:57+01:00

There are 5 jars of jam and 3 packages of muffin mix in gift basket.

Step-by-step explanation:

Cost of gift basket = $45

Item in gift basket = 8

Cost of one jam jar = $6

Cost of one muffin Jar = $5

Let,

x be the number of jam jars

y be the number of muffin jars

According to given statement;

x+y=8 Eqn 1

6x+5y=45 Eqn 2

From Eqn 1

[tex]x+y=8\\x=8-y[/tex]

Putting this value of x in Eqn 2

[tex]6(8-y)+5y=45\\48-6y+5y=45\\-y=45-48\\-y=-3\\y=3[/tex]

Putting y=3 in Eqn 1

[tex]x+3=8\\x=8-3\\x=5[/tex]

There are 5 jars of jam and 3 packages of muffin mix in gift basket.

Keywords: linear equation, substitution method

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