Question

Georgia pay $2.75 for four granola bars and one apple. Addison paid $2.25 for two granola bars and three apples find a cost of one granola bar in the cost of one apple.

Answer 1

The cost of one granola bar is $0.60 and cost of one apple is $0.35

Step-by-step explanation:

Let,

Cost of one granola bar = x

Cost of one apple = y

According to given statement;

4x+y=2.75     Eqn 1

2x+3y=2.25   Eqn 2

Multiplying Eqn 2 by 2

$2(2x+3y=2.25)\\4x+6y=4.50\ \ \ Eqn\ 3$

Subtracting Eqn 1 from Eqn 3

$(4x+6y)-(4x+y)=4.50-2.75\\4x+6y-4x-y=1.75\\5y=1.75$

Dividing both sides by 5

$\frac{5y}{5}=\frac{1.75}{5}\\y=0.35$

Putting y=0.35 in Eqn 2

$4x+0.35=2.75\\4x=2.75-0.35\\4x=2.40$

Dividing both sides by 4

$\frac{4x}{4}=\frac{2.4}{4}\\x=0.60$

The cost of one granola bar is $0.60 and cost of one apple is $0.35

Keywords: linear equation, elimination method

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