Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought four notebooks and six thumb drives for $ 96 . Lisa bought two notebooks and four thumb drives for $ 62 . Find the cost of each notebook and each thumb drive.

The cost of each notebook is $3 and the cost of each thumb drive is $14.

Step-by-step explanation:

In order to solve this question we will attribute variables to the notebook and thumb drive. The price of a notebook we will call "x" and the price of a thumb drive will be "y". We now can create equations that represents the total amount spent by each person on these items. To do that we need to take the amount of each item that was bought and multiply it by it's price.

For Troy:

4*x + 6*y = 96

For Lisa:

2*x + 4*y = 62

We now have a system of equations and we can solve them by isolate one of he variables in one of the equations and using that value on the other. Using the second equation we have:

2*x + 4*y = 62

4*y = 62 - 2*x

y = 15.5 - 0.5*x

Using this expression on the first equation:

4*x + 6*(15.5 - 0.5*x) = 96

4*x + 93 - 3*x = 96

x = 96 - 93 = 3

We can now find the value of y:

y = 15.5 - 0.5*(3) = 14

The cost of each notebook is $3 and the cost of each thumb drive is $14.

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!