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QuestionAn artist spends \$94 on 8 brushes at \$5 each and 6 cans of paint. Find the cost per can of paint. Show your work.

Studdy Solution

STEP 1

Assumptions1. The total amount spent is 94.Theartistbuys8brushesthatcost94. The artist buys8 brushes that cost 5 each3. The remaining money is used to buy6 cans of paint4. Each can of paint costs the same amount

STEP 2

First, we need to calculate the total cost of the brushes. We can do this by multiplying the number of brushes by the cost of each brush.
Cost of brushes=Number of brushestimesCost per brushCost\, of\, brushes = Number\, of\, brushes \\times Cost\, per\, brush

STEP 3

Now, plug in the given values for the number of brushes and the cost per brush to calculate the total cost of the brushes.
Cost of brushes=8times$5Cost\, of\, brushes =8 \\times \$5

STEP 4

Calculate the total cost of the brushes.
Cost of brushes=8times$=$40Cost\, of\, brushes =8 \\times \$ = \$40

STEP 5

Now that we have the cost of the brushes, we can find the total cost of the paint. This is done by subtracting the cost of the brushes from the total amount spent.
Cost of paint=Total amount spent−Cost of brushesCost\, of\, paint = Total\, amount\, spent - Cost\, of\, brushes

STEP 6

Plug in the values for the total amount spent and the cost of the brushes to calculate the total cost of the paint.
Cost of paint=$94−$40Cost\, of\, paint = \$94 - \$40

STEP 7

Calculate the total cost of the paint.
Cost of paint=$94−$40=$54Cost\, of\, paint = \$94 - \$40 = \$54

STEP 8

Now that we have the total cost of the paint, we can find the cost of each can of paint. This is done by dividing the total cost of the paint by the number of cans.
Cost per can=Cost of paint/Number of cansCost\, per\, can = Cost\, of\, paint / Number\, of\, cans

STEP 9

Plug in the values for the total cost of the paint and the number of cans to calculate the cost per can.
Cost per can=$54/6Cost\, per\, can = \$54 /6

STEP 10

Calculate the cost per can.
Cost per can=$54/6=$9Cost\, per\, can = \$54 /6 = \$9Each can of paint costs $9.

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