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 \(\frac{1}{2}\) of it for the flames, and \(\frac{1}{3}\) of it for the sparks.
- They needed \(7\frac{3}{4}\) 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.
\(18 \ pints \div 6 \ units = 3 \rightarrow \boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3}\boxed{3} = 18 \ pints\)
The flames: \(\frac{1}{2}\) or half of 6 unit above, that is \(\boxed{3}\boxed{3}\boxed{3} = 9 \ pints\)
The sparks: \(\frac{1}{3} = \frac{2}{6}\) or 2 of 6 unit above, that is \(\boxed{3}\boxed{3} = 6 \ pints\)
So, the remainder is 18 - 9 - 6 = 3 pints.
They needed \(7\frac{3}{4}\) pints of blue paint to paint the next design.
Let us count how many more pints of blue paint will they need.
\(\boxed{7\frac{3}{4} - 3 = ?}\)
\(\boxed{= \bigg( 7 + \frac{3}{4} \bigg) - 3}\)
\(\boxed{= 7 - 3 + \frac{3}{4}}\)
\(\boxed{\boxed{ \ 4\frac{3}{4}}}\)
Thus, they \(4\frac{3}{4}\) pints more of blue paint.
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