Four rulers and three pencils cost £2.15 Three rulers and four pencils cost £2.05 Work out the cost lf a ruler and the cost of a pencil

The cost of 1 ruler and 1 pencil are $0.35 and $0.25 respectively,

Step-by-step explanation:

Let the cost of 1 ruler be x

Let the cost of 1 pencil be y

Cost of 4 rulers = 4x

Cost of 3 rulers = 3x

Cost of 3 pencils = 3y

Cost of 4 pencils = 4y

We are given that Four rulers and three pencils cost £2.15

4x+3y=2.15 ---- Black line

We are also given that Three rulers and four pencils cost £2.05

3x+4y=2.05 --- Red line

Plot the lines on the graph

Point of Intersection of lines is (0.35,0.25)

Cost of a ruler = $0.35

Cost of a pencil = $0.25

Hence The cost of 1 ruler and 1 pencil are $0.35 and $0.25 respectively,

step-by-step explanation:

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