Math

QuestionEach friend pays for their share of water bottles from c cases, costing \$1.25 each. Write the expression for their cost.

Studdy Solution

STEP 1

Assumptions1. The water bottles are sold in cases of24. . Each bottle costs $1.25\$1.25.
3. There are4 friends who will share the cost equally.
4. The number of cases bought is represented by c.

STEP 2

First, we need to find the total cost of the water bottles in one case. We can do this by multiplying the cost per bottle by the number of bottles in a case.
Costpercase=NumberofbottlespercasetimesCostperbottleCost\, per\, case = Number\, of\, bottles\, per\, case \\times Cost\, per\, bottle

STEP 3

Now, plug in the given values for the number of bottles per case and cost per bottle to calculate the cost per case.
Costpercase=24times$1.25Cost\, per\, case =24 \\times \$1.25

STEP 4

Calculate the cost per case.
Costpercase=24times$1.25=$30Cost\, per\, case =24 \\times \$1.25 = \$30

STEP 5

Now that we have the cost per case, we can find the total cost for c cases. This can be done by multiplying the cost per case by the number of cases (c).
Totalcost=CostpercasetimesNumberofcasesTotal\, cost = Cost\, per\, case \\times Number\, of\, cases

STEP 6

Plug in the values for the cost per case and the number of cases to write the expression for the total cost.
Totalcost=$30timescTotal\, cost = \$30 \\times c

STEP 7

Now that we have the total cost, we can find how much each friend has to pay. This can be done by dividing the total cost by the number of friends (4).
Costperfriend=Totalcost/NumberoffriendsCost\, per\, friend = Total\, cost / Number\, of\, friends

STEP 8

Plug in the values for the total cost and the number of friends to write the expression for the cost per friend.
Costperfriend=($30timesc)/4Cost\, per\, friend = (\$30 \\times c) /4So, each friend must pay ($30×c)/4(\$30 \times c) /4 for c cases of water bottles.

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