A certain tree bears 73 individual pieces of fruit each year. Suppose you own an orchard that contains 120 of these trees. How much fruit will the orchard produce each year?

1 Answer
Johnson Z.
Apr 15, 2016

#8760# pieces of fruit per year

Explanation:

If one tree produces #73# pieces of fruit each year, and you have #120# of those trees, then multiply #73# by #120# to determine the total number of fruits produced in a year.

Start by multiplying "#73# pieces of fruit in a tree per year" by "#120# trees".

#((73color(white)(i)"pieces of fruit")/"tree")/"year"xx120color(white)(i)"trees"#

Simplify.

#=((73color(white)(i)"pieces of fruit")/"tree"-:"year")xx120color(white)(i)"trees"#

#=((73color(white)(i)"pieces of fruit")/"tree"xx1/"year")xx120color(white)(i)"trees"#

#=((73color(white)(i)"pieces of fruit")/("tree"color(white)(i)*color(white)(i)"year"))xx120color(white)(i)"trees"#

The unit, "tree(s)," cancels out.

#=(73color(white)(i)"pieces of fruit")/(color(red)cancelcolor(black)("tree")color(white)(i)*color(white)(i)"year")xx120color(white)(i)color(red)cancelcolor(black)("trees")#

#=(73color(white)(i)"pieces of fruit")/"year"xx120#

#=color(green)(|bar(ul(color(white)(a/a)(8760color(white)(i)"pieces of fruit")/"year"color(white)(a/a)|)))#

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