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On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plants. How many kilograms of plant food did Sheldon have left? Which number sentence matches the problem? *
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Answer:

[tex]2\frac{7}{12}[/tex] kg of plant food

Step-by-step explanation:

The second question doesn't have choices, so I'll answer the first question only.

In order to know how much plant food Sheldon has, you have to subtract [tex]1\frac{2}{3}[/tex] kg of plant food used for the strawberry plants from [tex]4\frac{1}{2}[/tex] kg of plant food. Then, [tex]\frac{1}{4}[/tex] kg will be subtracted from the difference.

  • [tex]4\frac{1}{2}[/tex] - [tex]1\frac{2}{3}[/tex] = ?

Let's convert both fractions into improper fractions first, so it will be easier to subtract.

  • [tex]4\frac{1}{2}[/tex] = [tex]\frac{9}{2}[/tex]
  • [tex]1\frac{2}{3}[/tex] = [tex]\frac{5}{3}[/tex]

Now, let's subtract.

  • [tex]\frac{9}{2}[/tex] - [tex]\frac{5}{3}[/tex] = [tex]\frac{17}{6}[/tex] or [tex]2\frac{5}{6}[/tex] kg of plant food

Next, you have to subtract [tex]\frac{1}{4}[/tex] kg of plant food used for the tomato plants from the remaining plant food of [tex]\frac{17}{6}[/tex] kg.

Let's subtract again.

  • [tex]\frac{17}{6}[/tex] - [tex]\frac{1}{4}[/tex] = [tex]2\frac{7}{12}[/tex] kg of plant food

Therefore, Sheldon has [tex]2\frac{7}{12}[/tex] kg of plant food left.

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