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QuestionKelly buys 3 games at \$18.95 each and 2 earbuds at \$11.50 each, with a \$2 coupon per game. Is her total \$77.85 or \$73.85?

Studdy Solution

STEP 1

Assumptions1. The cost of each video game is 18.95.Kellybuys3videogames3.Thecostofeachpairofearbudsis18.95. Kelly buys3 video games3. The cost of each pair of earbuds is 11.504. Kelly buys pairs of earbuds5. Kelly has a coupon for $ off the price of each video game

STEP 2

First, we need to find the total cost of the video games before the coupon is applied. We can do this by multiplying the cost of each video game by the number of video games Kelly buys.
Costgames=CostgametimesNumbergamesCost_{games} = Cost_{game} \\times Number_{games}

STEP 3

Now, plug in the given values for the cost of each video game and the number of video games to calculate the total cost of the video games.
Costgames=$18.95times3Cost_{games} = \$18.95 \\times3

STEP 4

Calculate the total cost of the video games.
Costgames=$18.95times3=$56.85Cost_{games} = \$18.95 \\times3 = \$56.85

STEP 5

Next, we need to find the total cost of the earbuds. We can do this by multiplying the cost of each pair of earbuds by the number of pairs Kelly buys.
Costearbuds=CostearbudtimesNumberearbudsCost_{earbuds} = Cost_{earbud} \\times Number_{earbuds}

STEP 6

Now, plug in the given values for the cost of each pair of earbuds and the number of pairs to calculate the total cost of the earbuds.
Costearbuds=$11.50times2Cost_{earbuds} = \$11.50 \\times2

STEP 7

Calculate the total cost of the earbuds.
Costearbuds=$11.50times2=$23Cost_{earbuds} = \$11.50 \\times2 = \$23

STEP 8

Now, we need to find the total discount from the coupon. We can do this by multiplying the discount of each coupon by the number of video games Kelly buys.
Discount=DiscountgametimesNumbergamesDiscount = Discount_{game} \\times Number_{games}

STEP 9

Now, plug in the given values for the discount of each coupon and the number of video games to calculate the total discount.
Discount=$2times3Discount = \$2 \\times3

STEP 10

Calculate the total discount.
Discount=$2times3=$6Discount = \$2 \\times3 = \$6

STEP 11

Now that we have the total cost of the video games, the total cost of the earbuds, and the total discount, we can find the total cost Kelly should pay. This is the sum of the total cost of the video games and the total cost of the earbuds, minus the total discount.
Total cost=Costgames+Costearbuds−DiscountTotal\, cost = Cost_{games} + Cost_{earbuds} - Discount

STEP 12

Plug in the values for the total cost of the video games, the total cost of the earbuds, and the total discount to calculate the total cost.
Total cost=$56.85+$23−$6Total\, cost = \$56.85 + \$23 - \$6

STEP 13

Calculate the total cost Kelly should pay.
Total cost=$56.85+$23−$6=$73.85Total\, cost = \$56.85 + \$23 - \$6 = \$73.85The cashier is correct. Kelly should pay $73.85.

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