Question

A gardener has 10 pounds of soil. She used 5/8 of the soil for his garden. How many pounds of soil did she use in the garden? How many pounds did she have left?

Answer 1

Pounds of soil used: 10 x 5/8 = 50/8 = 6 2/8 = 6 1/4 pounds used (in lowest form).

So what was left was: 10 - 6 1/4 = 3 3/4 pounds

Answer 2

• 6.25 pounds he used.
• 3.75 pounds he has left.

Further explanation

Given:

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

Question:

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

The Process:

$Let \ us \ prepare \boxed{10 \div 8 = \frac{10}{8}}$

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:  

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

- - - - - - - - - -

Quick Steps:

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.

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

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

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

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

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

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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