Wendy has 10 ½ pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 ¼ pounds. How many containers does she need? Show your work and answer in a complete sentence.

Respuesta :

Answer:

9 containers

Step-by-step explanation:

Since Wendy wants to divide the 10 [tex]\frac{1}{2}[/tex] pounds of the potato salad into 1 [tex]\frac{1}{4}[/tex] pounds for each container, You just divide 10 [tex]\frac{1}{2}[/tex] by 1 [tex]\frac{1}{4}[/tex] using the following method:

Convert 10 [tex]\frac{1}{2}[/tex] into an improper fraction:

[tex]\frac{21}{2}[/tex]

Convert 1 [tex]\frac{1}{4}[/tex] into an improper fraction:

[tex]\frac{5}{4}[/tex]

Then finally divide [tex]\frac{21}{2}[/tex] by  [tex]\frac{5}{4}[/tex] :

[tex]\frac{21}{2}[/tex] ÷ [tex]\frac{5}{4}[/tex]

This is the same as [tex]\frac{21}{2}[/tex] times the reciprocal of [tex]\frac{5}{4}[/tex]:

[tex]\frac{21}{2}[/tex] × [tex]\frac{4}{5}[/tex] = [tex]\frac{42}{5}[/tex] = 8.4

Since we cannot have 8.4 containers, we round it up to 9 containers, because for 8 containers, there will still be some pounds of potato salad left.

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