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It takes 2/23 sacks of sugar to fill a canister. Each sack contains 3/4 pound of sugar. What expression can be used to solve for the number of pounds of sugar it takes to fill the canister?

Answer :

Given:

1 canister = [tex]\dfrac{2}{23}[/tex] sacks of sugar

1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.

To find:

The expression that can be used to solve for the number of pounds of sugar it takes to fill the canister?

Solution:

We have,

1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.

So,

[tex]\dfrac{2}{23}[/tex] sack = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.

1 canister = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.

1 canister = [tex]\dfrac{3}{46}[/tex] pounds of sugar.

Therefore, the expression [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] is used to solve for the number of pounds of sugar it takes to fill the canister.