Joe, using only .32 cent stamps and .20 cent stamps, put $3.36 postage on a package he sent to his sister, he used twice as many .32-cent stamps as 20-cent stamps. How many of each stamp did he use.....please help me .this is driving me crazy!!
Thanks
if he used x of the 20 cent stamps he used 2 x of the 32 cent stamps
so
2x*32 + x * 20 = 336 cents
64 x + 20 x = 336
84 x = 336
x = 4 of the 20 cent stamps
2x = 8 of the 32 cent stamps
Thanks Damon...I appreciate it
Let's solve this step by step.
Let's assume Joe used x number of 20-cent stamps and y number of 32-cent stamps.
According to the problem, Joe used twice as many 32-cent stamps as 20-cent stamps. So, we can express this as:
y = 2x
Now, let's calculate the total cost of the stamps used by Joe. We know that the cost of a 20-cent stamp is $0.20 and the cost of a 32-cent stamp is $0.32.
The total cost of the stamps can be calculated by multiplying the number of stamps used by their respective costs and adding them together:
Total cost = (0.20 * x) + (0.32 * y)
But we also know that the total cost of the stamps used by Joe is $3.36. So, we can set up the equation:
(0.20 * x) + (0.32 * y) = 3.36
Now, we can substitute the value of y from equation (1) into equation (2):
(0.20 * x) + (0.32 * 2x) = 3.36
Simplifying the equation:
0.20x + 0.64x = 3.36
0.84x = 3.36
Dividing both sides of the equation by 0.84:
x = 3.36 / 0.84
x = 4
So, Joe used 4 20-cent stamps.
Now, we can find the value of y by substituting the value of x into equation (1):
y = 2 * x
y = 2 * 4
y = 8
So, Joe used 8 32-cent stamps.
Therefore, Joe used 4 20-cent stamps and 8 32-cent stamps to put $3.36 postage on the package.
To solve this problem, we need to set up a system of equations.
Let's assume that Joe used x number of 0.20 cent stamps.
Since Joe used twice as many 0.32 cent stamps as 0.20 cent stamps, he used 2x number of 0.32 cent stamps.
The total value of the 0.20 cent stamps would be 0.20x, and the total value of the 0.32 cent stamps would be 0.32(2x), which simplifies to 0.64x.
According to the given information, Joe put $3.36 postage on the package. The total value of the stamps used would be 0.20x + 0.64x, which equals 0.84x.
Equating the total value to $3.36, we can write the equation:
0.84x = 3.36
To solve for x, we divide both sides of the equation by 0.84:
x = 3.36 / 0.84
x = 4
Therefore, Joe used 4 0.20 cent stamps and 2x of 0.32 cent stamps, which is 2 * 4 = 8.
In conclusion, Joe used 4 0.20 cent stamps and 8 0.32 cent stamps to put $3.36 postage on the package he sent to his sister.