Math

QuestionIf a group plays 4 games, how much more do they spend buying individually at \$4.40 each vs. 2-game packs at \$8.40?

Studdy Solution

STEP 1

Assumptions1. The cost of1 game is \$4.40. The cost of games is \$8.403. The group wants to play4 games4. We are comparing the cost of buying games one at a time versus buying the-game packs

STEP 2

First, we need to find the total cost if the group buys the games one at a time. We can do this by multiplying the cost of1 game by the number of games.
Costone_at_a_time=Cost1_gametimesNumber_of_gamesCost_{one\_at\_a\_time} = Cost_{1\_game} \\times Number\_of\_games

STEP 3

Now, plug in the given values for the cost of1 game and the number of games to calculate the cost if the group buys the games one at a time.
Costone_at_a_time=$.40timesCost_{one\_at\_a\_time} = \$.40 \\times

STEP 4

Calculate the total cost if the group buys the games one at a time.
Costone_at_a_time=$4.40times4=$17.60Cost_{one\_at\_a\_time} = \$4.40 \\times4 = \$17.60

STEP 5

Next, we need to find the total cost if the group buys the2-game packs. We can do this by dividing the number of games by2 (since each pack contains2 games) and then multiplying by the cost of2 games.
Cost2_game_packs=(Number_of_games/2)timesCost2_gamesCost_{2\_game\_packs} = (Number\_of\_games /2) \\times Cost_{2\_games}

STEP 6

Now, plug in the given values for the number of games and the cost of2 games to calculate the cost if the group buys the2-game packs.
Cost2_game_packs=(4/2)times$8.40Cost_{2\_game\_packs} = (4 /2) \\times \$8.40

STEP 7

Calculate the total cost if the group buys the2-game packs.
Cost2_game_packs=(4/2)times$.40=$16.80Cost_{2\_game\_packs} = (4 /2) \\times \$.40 = \$16.80

STEP 8

Now that we have the total cost for both buying options, we can find the difference in cost by subtracting the cost of the2-game packs from the cost of buying the games one at a time.
Difference_in_cost=Costone_at_a_timeCost2_game_packsDifference\_in\_cost = Cost_{one\_at\_a\_time} - Cost_{2\_game\_packs}

STEP 9

Plug in the values for the cost of buying the games one at a time and the cost of the2-game packs to calculate the difference in cost.
Difference_in_cost=$17.60$16.80Difference\_in\_cost = \$17.60 - \$16.80

STEP 10

Calculate the difference in cost.
Difference_in_cost=$17.60$16.80=$0.80Difference\_in\_cost = \$17.60 - \$16.80 = \$0.80The group will spend $0.80 more by buying the games one at a time instead of buying the2-game packs.

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