John has some 37-cent stamps and 1-cent stamps in his pocket. The total value of the stamps is $6.54. If he has eight more 1-cent stamps than 37-stamps,
then how many of each does he have in his pocket?

He has 17 37-cent stamps and 27 1-cent stamps.

Step-by-step explanation:

37=x

1=x+8

Convert 6.54 to 654 so it's in cents instead of dollars and cents.

37x+1(x+8)=654

37x+x+8=654

38x=654-8

38x=646

x=17

So there are 17 37-cent stamps

17+8=25

So there are 25 1-cent stamps

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square