Steve has 54 stamps in his collection of 13 cent, 29 cent, and 45 cent stamps, totaling a value of $15.98. If the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80. Find the number of each type of stamp in his collection.

Number of 13 cents stamp = 14

Number of 29 cents stamp = 24

Number of 45 cents stamp = 16

Step-by-step explanation:

We are told he has 54 stamps in total.

These stamps are;13 cent, 29 cent, and 45 cent stamps.

Let's call number of 13 cent($0.13) stamp A

Call number of 29 cent($0.29) stamp B

Call number of 45 cent($0.45) stamp C

Thus;

A + B + C = 54

We are told the total value of the 3 stamps are $15.98.

Thus;

0.13A + 0.29B + 0.45C = $15.98 - - - (eq2)

Now we are told that if the number of 13 cent stamps is doubled, the new total value of his stamp collection would be $17.80.

Thus;

2(0.13A) + 0.29B + 0.45C = 17.8

0.26A + 0.29B + 0.45C = 17.8 - - - (eq 3)

Solving the 3 equations simultaneously, we have;

A = 14

B = 24

C = 16

We have;

Number of 13 cents stamp = 14

Number of 29 cents stamp = 24

Number of 45 cents stamp = 16

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

step-by-step explanation:

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