Data:
x (batter number) = ?
Solving:
\(x + 6 \frac{3}{4} = 12\)
\(x = 12 - 6 \frac{3}{4}\)
\(x = 12 - \frac{4*6+3}{4}\)
\(x = 12 - \frac{24+3}{4}\)
\(x = 12 - \frac{27}{4}\)
least common multiple (LCM) = 4, Will be the denominator:
\(x = 12 - \frac{27}{4}\)
\(\frac{4\div1*x}{4} = \frac{4\div1*12}{4} - \frac{4\div4*27}{4}\)
\(\frac{4x}{\diagup\!\!\!\!4} = \frac{48}{\diagup\!\!\!\!4} - \frac{27}{\diagup\!\!\!\!4}\)
\(4x = 48 - 27\)
\(4x = 21\)
\(x = \frac{21}{4}\)
Transform into mixed fraction
........................21 |_4_← denominator
....numerator→(1)....5 ← whole number
Therefore, We have:
\(x = \frac{21}{4} =\boxed{ 5 \frac{1}{4} }\)
Answer:
Jamal need \(5\frac{1}{4}\) cups of batter
