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QuestionAn artist buys 8 brushes for \$5 each and spends \$94 total. What is the cost of each of the 6 paint cans?

Studdy Solution

STEP 1

Assumptions1. The total amount spent is 94.Theartistbuys8brushes,eachcosting94. The artist buys8 brushes, each costing 53. The remaining money is used to buy6 cans of paint4. Each can of paint costs the same amount

STEP 2

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

STEP 3

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

STEP 4

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

STEP 5

Now that we have the total cost of brushes, we can subtract this from the total amount spent to find the total cost of the paint.
Total cost of paint=Total amount spent−Total cost of brushesTotal\, cost\, of\, paint = Total\, amount\, spent - Total\, cost\, of\, brushes

STEP 6

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

STEP 7

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

STEP 8

Now that we have the total cost of paint, we can divide this by the number of cans to find the cost of each can of paint.
Cost of each can of paint=Total cost of paint/Number of cansCost\, of\, each\, can\, of\, paint = Total\, cost\, of\, paint / Number\, of\, cans

STEP 9

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

STEP 10

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

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