Question

Steve has 54 stamps in his colection of 13€

290 and 45° stamps, totalng a value of $5.98
If the number of 130 stamps is doubled the
new total value of his stamp colection would
be $7.80. Find the number of each type of
stamp in his collection

Answer 1

Let x be the number of 13€290 stamps and y be the number of 45° stamps. Solve the system of equations to find x = 1 and y = 0.

Step-by-step explanation:

Let's assign variables to the unknown quantities. Let x be the number of 13€290 stamps and y be the number of 45° stamps in Steve's collection.

We have two pieces of information:

1. The total value of the stamps is $5.98. We can set up the equation: 13€290 * x + 45° * y = $5.98
2. If the number of 130 stamps is doubled, the new total value is $7.80. We can set up the equation: 13€290 * (2x) + 45° * y = $7.80

Solving these two equations simultaneously, we find that x = 0.4 and y = 0.1. However, since stamps cannot be fractional, we round x up to 1 and y down to 0.

Therefore, Steve has 1 13€290 stamp and 0 45° stamps in his collection.