[tex]\frac{7}{2}[/tex] cups of flour are needed in the original recipe
Solution:
Given that, Baker used [tex]8\frac{3}{4}[/tex] cups of flour to make [tex]2\frac{1}{2}[/tex] times the original recipe
To find: Cups of flour are needed in the original recipe
Let the cups of flour in original recipe be "x"
From given statement, we can frame a equation as:
Cups of floor used = [tex]2\frac{1}{2}[/tex] times the original recipe
[tex]8\frac{3}{4} = 2\frac{1}{2} \text{ times the } x[/tex]
Here "times" means multiplication or product
[tex]8\frac{3}{4} = 2\frac{1}{2} \times x\\\\\frac{4 \times 8 +3}{4} = \frac{2 \times 2+1}{2} \times x\\\\\frac{35}{4} = \frac{5}{2} \times x\\\\35 = 10x\\\\x = \frac{35}{10} = \frac{7}{2}[/tex]
Thus [tex]\frac{7}{2}[/tex] cups of flour are needed in the original recipe
Show you work or explain your reasoning
Multiply the original recipe cups by [tex]2\frac{1}{2}[/tex] to get [tex]8\frac{3}{4}[/tex]
[tex]\frac{7}{2} \times 2\frac{1}{2} = 8\frac{3}{4}\\\\\frac{7}{2} \times \frac{5}{2} = \frac{35}{4}\\\\\frac{35}{4} = \frac{35}{4}[/tex]
Thus answer is correct
