Question

Christine went shopping and bought each of her nine nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $97.42 on gifts. How many videos and CDs did she buy?

Answer 1

Christine bought $2$ videos and $7$ CDs.

Let the number of videos bought be $x$ and the number of CDs bought be $y$.

Cost of video $=$ $$14.95$.

Cost of CDs $=$ $$16.88$.

Number of nephews $= 9$

Total money spent $=$ $ $148.06$.

From the question,  

$x+y=9...(i)$

$14.95x+16.88y=148.06...(ii)$

Take $(i)$

$x+y=9$

$x=9-y$

Put this value in $(ii)$

$14.95(9-y)+16.88y=148.06$

$134.55-14.95y+16.88y=148.06$

$1.93y=13.51$

$y=7$

Put this value in $(i)$

$x+y=9$

$x+7=9$

$x=2$

So, she bought $2$ videos and $7$ CDs.

Learn more about linear equations in two variables here:

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