Allen bought 20 stamps at the post office in 37 cents and 20 cents. the total cost of the stamp was $7.06. How many 37cents stamp did Allen Buy

Let x be the number of 37 cent stamps; this means that 20-x will be the number of 20 cent stamps.

0.37 x + (0.20)(20-x)= 7.06 (total dollar value)
0.17 x + 4 = 7.06
0.17 x = 3.06
x = ?

To find out how many 37-cent stamps Allen bought, we can set up a system of equations based on the given information.

Let's say the number of 37-cent stamps Allen bought is x.

According to the problem, the total number of stamps Allen bought is 20. So, the number of 20-cent stamps Allen bought would be (20 - x), as the difference between the total number of stamps and the number of 37-cent stamps gives the number of 20-cent stamps.

Now let's consider the cost of the stamps. The cost of each 37-cent stamp is $0.37, so the total cost for the 37-cent stamps would be 0.37x. Similarly, the cost of each 20-cent stamp is $0.20, so the total cost for the 20-cent stamps would be 0.20(20 - x).

Given that the total cost of the stamps was $7.06, we can set up the equation:

0.37x + 0.20(20 - x) = 7.06

Now we can solve this equation to find the value of x, which represents the number of 37-cent stamps Allen bought.