Question

I have 4 times as many 10-cent stamps as 3-cent stamps. I have one less 2-cent stamp than 3 cent stamp. If I have b2-cent stamps, what is the value of my stamp collection in terms of b ?

Answer 1

45b + 43 cents

Explanation:

45b + 43 cents

Answer 2

Value of stamp collection = (45b + 43) cents

Explanation:

What we have here is as follows;

if there are x 3-cent stamps, then there are 4x 10-cent stamps

So the number of 2-cent stamps is 1 less than 3 cent stamps and that will be x-1 2 cent stamps

Number of 2 cents stamps = b

This means that x-1 = b

Thus, x = b + 1

So the value of the stamp collection is as follows;

x 3 cents stamps = 3(b+ 1) = 3b + 3 cents

4x 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40

value of the 2 cents stamp = 2b cents

Total value is thus;

2b + 40b + 40 + 3b + 3 = (45b + 43) cents