Answer :
4³/₄ pints
Further explanation
Given:
A-Plus auto body is painting desigs on a customer's car.
- They had 18 pints of blue paint on hand.
- They used [tex]\frac{1}{2}[/tex] of it for the flames, and [tex]\frac{1}{3}[/tex] of it for the sparks.
- They needed [tex]7\frac{3}{4}[/tex] pints of blue paint to paint the next design.
Question:
How many more pints of blue paint will they need?
The Process:
From the denominators 2 and 3 above, we get LCM = 6.
Let us draw a diagram that contains all the pints.
[tex]18 \ pints \div 6 \ units = 3 \rightarrow \boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3} = 18 \ pints[/tex]
The flames: [tex]\frac{1}{2}[/tex] or half of 6 unit above, that is [tex]\boxed{3}\boxed{3}\boxed{3} = 9 \ pints[/tex]
The sparks: [tex]\frac{1}{3} = \frac{2}{6}[/tex] or 2 of 6 unit above, that is [tex]\boxed{3}\boxed{3} = 6 \ pints[/tex]
So, the remainder is 18 - 9 - 6 = 3 pints.
They needed [tex]7\frac{3}{4}[/tex] pints of blue paint to paint the next design.
Let us count how many more pints of blue paint will they need.
[tex]\boxed{7\frac{3}{4} - 3 = ?}[/tex]
[tex]\boxed{= \bigg( 7 + \frac{3}{4} \bigg) - 3}[/tex]
[tex]\boxed{= 7 - 3 + \frac{3}{4}}[/tex]
[tex]\boxed{\boxed{ \ 4\frac{3}{4}}}[/tex]
Thus, they [tex]4\frac{3}{4}[/tex] pints more of blue paint.
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Keywords: A-Plus, auto body, painting, designs, on a customer's car, they had 18 pints, blue paint, 1/2, for the flames, 1/3, the sparks, they needed, 7³/₄, the next design, how many more, will they need
The amount of more blue paint needed is 19 / 4 pints
They are painting a designs on a customer's car . They had 18 pints of blue paints on hand.
Amount used on flames = 1 / 2 pints
Amount used on spark = 1 / 3 pints
Therefore,
Total pints used:
- 1 / 2 + 1 / 3 = 5 / 6
Therefore,
5 / 6 of 18 = 5 / 6 × 18 = 15 pints
Therefore, 15 pints of the paint has been used. The remaining pints of paint is 18 - 15 = 3 pints of paints.
They needed 7 3 / 4 pints of paints.
7 3 / 4 = 31 / 4 pints
Amount needed = 31 / 4 - 3 = 31 - 12/ 4 = 19 / 4 pints of paints
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