Question

Ana went to a book store and bought a pen and pencils and the total money she spent is $850 and a pen cost $150 and a pencil cost $100 what are all the possible purchases that she could have made.

Answer 1

Answer: So there are three ways...

$850=150(1)+100(7)

$850=150(3)+100(4)

$850=150(5)+100(1)

Explanation:

The equation is 150x+100y=850 where x and y are any whole number of items that she was able to purchase with $850

So there are three ways...

$850=150(1)+100(7)

$850=150(3)+100(4)

$850=150(5)+100(1)

These are the purchases where x is pens and y is pencils