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Tim is painting his storage shed. He buys 4 gallons of white paint, and 3 gallons of blue paint. Each gallon of white paint costs $15.72, and each gallon of blue pain costs $21.87. How much will Tim spend on the paint?

Respuesta :

$128.49

Further explanation

Given:

  • Tim is painting his storage shed.
  • He buys 4 gallons of white paint and 3 gallons of blue paint.
  • Each gallon of white paint costs $15.72.
  • Each gallon of blue pain costs $21.87.

Question:

How much will Tim spend on the paint?

The Process:

We first calculate the total cost spent on each color of the paint.

Total costs of white paint  [tex]\boxed{ \ = 4 \ gallons \times \frac{ \$15.72}{1 \ gallon} = \boxed{ \ \$62.88 \ } \ }[/tex]

Total costs of blue paint  [tex]\boxed{ \ = 3 \ gallons \times \frac{ \$21.87}{1 \ gallon} = \boxed{ \ \$65.61 \ } \ }[/tex]

The overall cost of painting is [tex]\boxed{ \ \$62.88 + \$65.61 = \boxed{ \ \$128.49 \ } \ }[/tex]

Quick Steps:

Total costs  [tex]\boxed{ \ = \bigg(4 \ gallons \times \frac{ \$15.72}{1 \ gallon} \bigg) + \bigg(3 \ gallons \times \frac{ \$21.87}{1 \ gallon} \bigg) \ }[/tex]

[tex]\boxed{ \ \$62.88 + \$65.61 = \boxed{ \ \$128.49 \ } \ }[/tex]

Therefore, Tim will spend the total costs to paint his storage shed as much $128.49.

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Keywords:  Tim is painting his storage shed, 4 gallons of white paint, 3 gallons of blue paint, total costs, how much will Tim spend on the paint?

The total spend money by the Tim in all paint is [tex]\boxed{\bf\$ 128.49}[/tex].

Further explanation:

Given:

Tim buys 4 gallons of white paint and 3 gallons of blue paint.

The cost of the each gallons of white paint is [tex]\$15.72[/tex] and the cost of each gallons of blue paint is [tex]\$21.87[/tex].

Calculation:

Let [tex]x[/tex] be the cost of the 4 gallons of white paint and [tex]y[/tex] be the cost of the blue paint.

The cost of each gallons of white paint is [tex]\$15.72[/tex].

Therefore, the cost of the 4 gallons of white paint can be calculated as follows,

[tex]\begin{aligned}x&=4\times\$ 15.72\\&=\$62.88\\\end{aligned}[/tex]

The cost of each gallons of blue paint is [tex]\bf\$21.87[/tex].

The cost of the 3 gallons of blue paint can be calculated as follows,

[tex]\begin{aligned}y&=3\times\$21.87\\&=\$ 65.61\\\end{aligned}[/tex]

The total money that is spend for all the paint is [tex]\boxed{x+y}[/tex].

The total spend money can be calculated as,

[tex]\begin{aligned}x+y&=\$62.88+\$65.61\\&=\$ 128.49\\\end{aligned}[/tex]

Thus, the total spend money by Tim for painting is [tex]\boxed{\bf\$ 128.49}[/tex].

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords:  Tim, spend money, gallons, white paint, blue paint, cost money, painting,  .

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