1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
00:00
andreev551 [17]

Answer:

I need Help on this one too.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is 17/20,19/20, 0.19, 0.24 in order from greatest to least
oksian1 [2.3K]
0.19,0.24,17/20,19/20
3 0
3 years ago
Read 2 more answers
Answer the very simple question below!
zalisa [80]

Answer: 14

Step-by-step explanation: just go to the opposite side of the interger and plz Brainlest would be much appreciated.

5 0
3 years ago
Read 2 more answers
What is the common ratio of the geometic sequence whose second and forth terms are 6 and 54, respectively?
Luda [366]

Answer:

C

Step-by-step explanation:

The n th term formula of a geometric sequence is

a_{n} = a r^{n-1}

where a is the first term and r the common ratio

Using the second and fourth term, then

ar = 6 → (1)

ar³ = 54 → (2)

Divide (2) by (1)

\frac{ar^3}{ar} = \frac{54}{6} = 9

r² = 9 ⇒ r = \sqrt{9} = 3 → C

7 0
3 years ago
Read 2 more answers
Does anyone know it?
3241004551 [841]
It is the first one.
7 0
3 years ago
Other questions:
  • Shane y Abha obtuvieron una medalla del equipo que requería que su equipo recolectara no menos de 2000 latas para reciclar. Abha
    7·1 answer
  • Identify all of the roots of the function.
    5·2 answers
  • Which of the following is the domain of the function y = √x + 4 - 3
    12·1 answer
  • Can someone help please
    9·1 answer
  • Could you please help me? -0.7-(-2.5)=
    10·1 answer
  • The table shows a bank account
    6·1 answer
  • find an equation for the line that passes through (-4, 8) and (3, -7). what is the slope? where does the line intersect the x-ax
    13·1 answer
  • Hailey invested $940 in an account paying an interest rate of 8\tfrac{1}{4}8
    13·1 answer
  • on a particular day, a man spent 12 minutes more driving to his office than driving home. His average speed from home to office
    10·1 answer
  • Find the 59th term of the following arithmetic sequence. 15, 23, 31, 39
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!