MATH SOLVE

5 months ago

Q:
# A farmer planted 4 1/2 acres of land with 6 types of wheat. If she planted an equal amount of each type of wheat, how many acres of each type did she plant? Write your answer as a fraction or as a whole or mixed number.(I just want to know how to set it up!)

Accepted Solution

A:

She planted [tex]\frac{3}{4}[/tex] arcs of each typeStep-by-step explanation:The given is:A farmer planted [tex]4\frac{1}{2}[/tex] acres of land with 6 types of wheatShe planted an equal amount of each type of wheatWe need to find how many acres of each type she planted∵ The farmer planted [tex]4\frac{1}{2}[/tex] arcs of land∵ She planted 6 types of wheat∵ She planted an equal amount of each type of wheat- Divide the total number of arcs by 6 to find the number of arcs for each typeTo divide the total number of arcs change it from the mixed number [tex]4\frac{1}{2}[/tex] to improper fraction∵ [tex]4\frac{1}{2}=\frac{(4*2)+1}{2}=\frac{9}{2}[/tex]∴ The total number of arcs = [tex]\frac{9}{2}[/tex]∴ The number of arcs of each type = [tex]\frac{9}{2}[/tex] ÷ 6- Change the division sign to multiplication sign and reciprocal the number after the division sign∴ The number of arcs of each type = [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{6}[/tex]∴ The number of arcs of each type = [tex]\frac{9*1}{2*6}[/tex]∴ The number of arcs of each type = [tex]\frac{9}{12}[/tex]- Reduce the fraction by dividing up and down by 3∴ The number of arcs of each type = [tex]\frac{3}{4}[/tex]She planted [tex]\frac{3}{4}[/tex] arcs of each typeLearn more:You can learn more about fraction in brainly.com/question/1757979#LearnwithBrainly