Answer:
The value of the stamp collection is calculated as (45b + 43) cents
Step-by-step explanation:
The scenario is as follows;
if there are x occurrences of 3-cent stamps, then there are 4 times that amount in 10-cent stamps
The number of 2-cent stamps is one less than the quantity of 3-cent stamps, resulting in x-1 for the 2-cent stamps
The number of 2-cent stamps is denoted as b
This implies x-1 = b
Thus, x = b + 1
<pConsequently, the value of the stamp collection can be expressed as;
With x occurrences of 3-cent stamps = 3(b + 1) = 3b + 3 cents
With 4x occurrences of 10-cent stamps = 10(4(b + 1)) = 10(4b + 4) = 40b + 40
The value of the 2-cent stamps = 2b cents
The total value thus becomes;
2b + 40b + 40 + 3b + 3 = (45b + 43) cents
