how to solve this question? to print 6000 post cards suppose it costs 2 cents to print a large postcard and 1 cent to print a small postcard. If $97 dolllars is allocated for printing the postcards how many of each type can be printed

Question

how to solve this question? to print 6000 post cards suppose it costs 2 cents to print a large postcard and 1 cent to print a small postcard. If $97 dolllars is allocated for printing the postcards how many of each type can be printed

Answer 1

Altogether you have 9700 cents, so you just need to find b and s (for big and small) such that

2b+s = 9700

but, you also know that

b+s = 6000

So,

2b+(6000-b) = 9700
b+6000 = 9700
b=3700

So, print 3700 big cards and 2300 small cards.

check:

2*3700 = 7400
1*2300 = 2300
total: 9700