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:
Let's prepare 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]
Hence, the overall cost of painting is [tex]\boxed{ \ \$62.88 + \$65.61 = \boxed{ \ \$128.49 \ } \ }[/tex]
Quick Steps:
Here we directly calculate the sum of the total costs of each painting. Use parentheses for each multiplication operation.
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]
Thus, 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 money spent by Tim on paint is [tex]\boxed{\bf \$\ 128.49}[/tex].
Further explanation:
Given:
Tim buys [tex]4[/tex] gallons of white paint and [tex]3[/tex] 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 [tex]1[/tex] gallon of white paint and [tex]y[/tex] be the cost of [tex]1[/tex] gallon of blue paint.
The cost of each gallon of white paint is [tex]\$\ 15.72[/tex].
Therefore, the cost of the [tex]4[/tex] 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 gallon of blue paint is [tex]\$\ 21.87[/tex].
The cost of the [tex]3[/tex] 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 which is spent for all the paint is [tex]\boxed{x+y}[/tex].
The total spend money can be calculated as follows:
[tex]\boxed{\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, $128.49, paint, algebra, expression, mathematics.
