a. Fantine bought 2[tex]\frac{1}{4}[/tex] pounds in August.
b. She bought 2[tex]\frac{2}{7}[/tex] pounds in April.
Step-by-step explanation:
Step 1; It is given than Fantine bought [tex]\frac{3}{4}[/tex] of January's total in August. So,
The flour bought in August = [tex]\frac{3}{4}[/tex] × The flour bought in January. From the table, we have the flour bought in January was 3 pounds.
The flour bought in August = [tex]\frac{3}{4}[/tex] × 3 = [tex]\frac{9}{4}[/tex] = 2[tex]\frac{1}{4}[/tex] pounds. (9 divided by 2 gets a quotient of 2 and remainder 1)
Step 2; She bought [tex]\frac{7}{8}[/tex] as much in April as she did in both October and July.
[tex]\frac{7}{8}[/tex] × the flour bought in August = The flour bought in October and July.
The flour bought in October and July = [tex]\frac{3}{4}[/tex] + 1[tex]\frac{1}{4}[/tex] = [tex]\frac{3}{4}[/tex] + [tex]\frac{5}{4}[/tex] = [tex]\frac{8}{4}[/tex] = 2 pounds.
[tex]\frac{7}{8}[/tex] × the flour bought in August = 2 pounds.
The flour bought in August = 2 × [tex]\frac{8}{7}[/tex] = [tex]\frac{16}{7}[/tex] = 2[tex]\frac{2}{7}[/tex] pounds. (16 divided by 7 gets a quotient of 2 and remainder 2)
