A little math assistance, PLEASE...YOUR help is needed ASAP!!!?

Question

I don't know how to set up this problem, could somebody please help? I would also like you to explain how you got your answer if it's not too much trouble. ANY help is appreciated, PLEASE and THANKS!!!

A store is selling a video game system for $100. Game cartridges are $40 each. The sales tax is 6% of the total price for all items.

a. Write an expression for the total, with tax, of one game system with g [the variable] amount of cartridges

b. A customer bought several games, and the total cost was $360.40. Write and solve an equation to find how many games the customer bought.

Answer 1

system + games + tax
100 + 40g + .06(100 + 40g) = total price

360.40 = 100 + 40g + .06(100 + 40g)
distribute through parentheses
360.40 = 100 + 40g + 6 + 2.4g
subtract 100 and 6 from both sides
combine like terms (g)
254.4 = 42.4g
divide by 42.4
g = 6
The customer bought 6 games

Answer 2

store is selling a video game system for $100. Game cartridges are $40 each. The sales tax is 6% of the total price for all items.

a. Write an expression for the total, with tax, of one game system with g [the variable] amount of cartridges
100/6= 16.6 cents so 100 plus 17= $100.17 + Gtimes$40
b. A customer bought several games, and the total cost was $360.40. Write and solve an equation to find how many games the customer bought.You need more info to determine how much several is and then divide the price of all by that number that will give the total of one.

Answer 3

a. {($100+$40g) x 6%} + ($100+$40g)

{($100+$40g) x 6%} = Tax
($100+$40g) = Actual items

$100 is the price of the game system, and it's constant because you're only buying one. $40 is the cost of a cartridge, but it is multiplied by g (the number of cartridges you buy) because it's cost depends on how many you purchase. The total cost of the game system and the cartridges is then multiplied by 6%, or .06 (6/100) to receive the amount you'd pay in taxes. You then add this to ($100+$40g) because this is the actual cost of the items while the other is only tax

b. Next, set the whole equation to $360.40 (the price of the total purchase) and solve for g, the number of cartridges purchased.

{($100+$40g) x 6%} + ($100+$40g) = $360.40
Distribute the 6%, .06
6 + 2.4g + 100 + 40g = 360.40
106 + 42.4g = 360.40
42.4g = 254.4
g = 6

Answer 4

24 = .06 * (100 + (g(40))

The 24 is the tax, and G is the variable (number of cartriges). If you solved the equation, G=5 in this instance

Answer 5

Well for part a)

Total = (100 + 40G) + .06 x (100+40G)

The first part in parenthesis takes care of the total cost while the second set of parenthesis takes care of the total tax.

b)

just plug 360.40 into the TOTAL in the equation above and solve for G

Answer 6

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Answer 7

i think i know but i dont want to give the wrong answer to this question.