The value of the stamp collection in terms of b is; 45b + 43 cents
We are given;
If there are x 3-cent stamps, then there are 4x number 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
Thus; x - 1 = b
x = b + 1
The value of the stamp collection is as follows;
x number of 3 cents stamps = 3(b + 1) = 3b + 3 cents
4x number of 10 cents stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40
The value of the 2 cents stamp = 2b cents
Total value is;
2b + 40b + 40 + 3b + 3 = (45b + 43) cents
Complete Question is;
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 ?
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