Question

The cost of 3 DVDs and 4 CDs is £62.00. The cost of 4 DVDs and 3 CDs is £64.00. Find the cost of each.

Answer 1

Answer:

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Step-by-step explanation:

so here we go

so let cost of dvds be x pounds and cds be y pounds

so according to first criterion

3x+4y=62 (1)

according to second condition

4x+3y=64 (2)

so multiply (1) by 3 and (2) by 4

we get

9x+12y=186 (3)

16x+12y=256 (4)

now subtract (3) from (4) we get

16x+12y=256

9x+12y=186

(-) (-) (-)

___________

7x=70

ie x=10 substitute it in (1)

we get

3x+4y=62

30+4y=62

ie 4y=32

y=8

hence cost of one dvd is 10 pound and cd is 8 pound respectively