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Eva8 [605]
3 years ago
15

A gardener has 10 pounds of soil. He used 5/8 of the soil for his garden. How many pounds of soil did he use in the Garden? How

many pounds did he have left?
Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0
A gardener has 10 pounds of soil. Now he 5/8 of that soil for his garden. Let's solve how many pounds of soil did he used and how many pounds is left.
=> 5/8
=> 10 lbs / 8 = 1.25 lbs
=> 1.25 lbs * 5 = 6.25 lbs.
He used 6.25 lbs of soil for his garden and has 3.75 lbs of soil left.
aleksandrvk [35]3 years ago
3 0
  • 6.25 pounds he used.
  • 3.75 pounds he has left.
<h3>Further explanation</h3>

<u>Given:</u>

  • A gardener has 10 pounds of soil.
  • He used \frac{5}{8} of the soil for his garden.

<u>Question:</u>

  • How many pounds of soil did he use in the garden?
  • How many pounds did he have left?

<u>The Process:</u>

From the information above, let us create a suitable diagram as follows:

\boxed{\frac{10}{8}}\boxed{\frac{10}{8}}\boxed{\frac{10}{8}}\boxed{\frac{10}{8}}\boxed{\frac{10}{8}}\boxed{\frac{10}{8}}\boxed{\frac{10}{8}}\boxed{\frac{10}{8}} = 10 \ pounds

\boxed{\frac{10 \div 2}{8 \div 2} \rightarrow \frac{5}{4}}. The diagram has rewritten as follows:

\boxed{\frac{5}{4}}\boxed{\frac{5}{4}}\boxed{\frac{5}{4}}\boxed{\frac{5}{4}}\boxed{\frac{5}{4}}\boxed{\frac{5}{4}}\boxed{\frac{5}{4}}\boxed{\frac{5}{4}} = 10 \ pounds

\boxed{ \ Hence, \ 1 \ unit = \frac{5}{4} \ pounds \ }

He used \frac{5}{8} of the soil for his garden, or 5 of 8 units of 10 pounds. It means he has left 3 of 8 units.

Let us calculate how many pounds of soil did he use in the garden.

\boxed{ \ = 5 \times \frac{5}{4} \ pounds \ }

\boxed{\boxed{ \ \frac{25}{4} \ pounds \ }}

In mixed fraction:

\boxed{\boxed{ \ \frac{25}{4} = \frac{24}{4} + \frac{1}{4} = 6\frac{1}{4} \ pounds \ }}

In decimal:

\boxed{\boxed{ \ \frac{25}{4} \times \frac{25}{25} = \frac{625}{100} = 6.25 \ pounds \ }}

It could also be like this:

\boxed{\boxed{ \ 6\frac{1}{4} = 6\frac{25}{100} = 6.25 \ pounds \ }}

Let us calculate how many pounds of soil did he have left.

\boxed{ \ = 10 - \frac{25}{4} \ pounds \ }

\boxed{ \ = \frac{40}{4} - \frac{25}{4} \ pounds \ }}

\boxed{\boxed{ \ \frac{15}{4} \ pounds \ }}

In mixed fraction:

\boxed{\boxed{ \ \frac{15}{4} = \frac{12}{4} + \frac{3}{4} = 3\frac{3}{4} \ pounds \ }}

In decimal:

\boxed{\boxed{ \ \frac{15}{4} \times \frac{25}{25} = \frac{375}{100} = 3.75 \ pounds \ }}

It could also be like this:

\boxed{\boxed{ \ 3\frac{3}{4} = 3\frac{75}{100} = 3.75 \ pounds \ }}

- - - - - - - - - -

<u>Quick Steps:</u>

He used \frac{5}{8} of the soil for his garden.

\boxed{ \ = \frac{5}{8} \times 10 \ pounds \ }

\boxed{ \ = \frac{50}{8} \ pounds \ }

\boxed{ \ = \frac{50 \div 2}{8 \div 2} = \frac{25}{4} \ pounds \ }

\boxed{\boxed{ \ \frac{25}{4} = 6\frac{1}{4} \ pounds \ }}

\boxed{\boxed{ \ \frac{25}{4} \times \frac{25}{25} = \frac{625}{100} = 6.25 \ pounds \ }}

He has left \frac{3}{8} of the soil.

\boxed{ \ = \frac{3}{8} \times 10 \ pounds \ }

\boxed{ \ = \frac{30}{8} \ pounds \ }

\boxed{ \ = \frac{30 \div 2}{8 \div 2} = \frac{15}{4} \ pounds \ }

\boxed{\boxed{ \ \frac{15}{4} = 3\frac{3}{4} \ pounds \ }}

\boxed{\boxed{ \ \frac{15}{4} \times \frac{25}{25} = \frac{375}{100} = 3.75 \ pounds \ }}

<h3>Learn more</h3>
  1. How many inches of gold chain did she have left? brainly.com/question/8937330
  2. How much money Elise have after paying for the stamp? brainly.com/question/3207704
  3. How many students are wearing a shirt other than blue or white? brainly.com/question/895261

Keywords: a gardener, has, 10 pounds of soil, he used, 5/8, the soil for his garden, how many, in the garden, have left, 3/8, 6.25, 3.75

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