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
faust18 [17]
2 years ago
11

40 in the ratio 2:3 £2000 in the ratio 3:7 36kg in the ratio 1:2:3

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
8 0
Answer:
a) 16: 24
b)  £600 : £1400
c)  6 : 12 : 18


40 in the ratio 2 : 3 

To split an amount based on ratio 2:3 , first, we need to find the total share.

-------------------------------------------------
Find total shares
-------------------------------------------------
2+3 = 5

Then we need to find the the amount of 1 share worth 

-------------------------------------------------
Find 1 share
-------------------------------------------------
5 shares = 40                ← divide by 5 on both sides
÷ 5             ÷ 5 
1 share = 8 

Now that we know one share is 8, we need to find the amount according to the shares allocation, which is 2 and 3 in this question.

-------------------------------------------------
Find 2 shares
-------------------------------------------------
1 share = 8                    ← multiply by 2 on both sides
x2           x2
2 shares = 16

-------------------------------------------------
Find 3 shares
-------------------------------------------------
1 share = 8
x3            x3
3 shares = 24

The ratio is 2 : 3. The 40 is therefore the amount split as 16:24

-------------------------------------------------
Answer: 16: 24
-------------------------------------------------

£2000 in the ratio 3: 7

To split the £2000 into the ratio 3:7, first, we need to find the total shares.

-------------------------------------------------
Find total shares
-------------------------------------------------
3 + 7 = 10

Then we find the 1 share worth
-------------------------------------------------
Find 1 share
-------------------------------------------------
10 shares = £2000              ← divide by 10 on both sides
÷10              ÷10
1 share = £200

Now that we know 1 share is worth £200, we need to find the shares according to the ratio allocation.

-------------------------------------------------
Find 3 shares
-------------------------------------------------
1 share = £200                    ← multiply 3 on both sides
x3             x3
3 shares = £600

-------------------------------------------------
Find 7 shares
-------------------------------------------------
1 share = £200                         ← multiply by 7 on both sides
x7            x7
7 shares = £1400

The ratio 3 : 7, the £2000 is spilt into £600 : £1400

-------------------------------------------------
Answer: £600 : £1400
------------------------------------------------

36 kg into the ratio 1:2:3

To spilt the 36kg, first we find the total number of shares

------------------------------------------------
Find total shares
------------------------------------------------
1 + 2 + 3 = 6

36 kg is split into 6 shares. We need to find the allocation of 1 share.
------------------------------------------------
Find 1 share
------------------------------------------------
6 shares = 36              ← divide by 6 on both sides
÷6             ÷6
1share = 6kg

The allocation of 1 share is 6kg. Now find 2 shares and 3 shares

------------------------------------------------
Find 2 shares
------------------------------------------------
1 share = 6kg                 ← multiply by2 on both sides
x2            x2
2 shares = 12kg

------------------------------------------------
Find 3 shares
------------------------------------------------
1 share = 6 kg            ← multiply by 2 on both sides
x3            x3
3shares = 18kg

The ratio is 1:2:3. 36kg is spilt into 6: 12: 18

------------------------------------------------
Answer: 6 : 12 : 18
------------------------------------------------


You might be interested in
If I have 14 neutrons and 11 electrons, what is my mass number?
Vinil7 [7]

Answer:

A : 25

Step-by-step explanation:

In a neutral atom, the number of electrons is equal to the number of protons. The atomic number indicates the number of protons.

The mass number is the sum of the number of neutrons and the number of protons.

mass number=protons+neutrons

As we know from the atomic number, the number of neutrons is 14 and the number of electrons is 11.

mass number = 14 + 11

3 0
3 years ago
Read 2 more answers
1/17b = 90????<br> Please start it as multiplying both sides with the denominator
Ilya [14]

Answer:

b = 1530

Step-by-step explanation:

1/17 b = 90

(17)1/17b = 90 × 17

b = 1530

3 0
3 years ago
Read 2 more answers
Evaluate the radical.
zaharov [31]
5*5*5=125
5²*5=125
5√5 is your answer
4 0
3 years ago
Read 2 more answers
Help please? Will mark correct and first answer as brainliest!! : )
Gelneren [198K]

Answer:

It Is O. 8

Step-by-step explanation:

Because you are suppose to round the number to the one in front of the other number

3 0
3 years ago
Read 2 more answers
What is the answer to the problem I am stuck on?
liubo4ka [24]

Answer:

A

Step-by-step explanation:

1*1/4 is One lap, but you want 23 laps so exchange the 1 with a 23:

23*1/4

A

6 0
2 years ago
Read 2 more answers
Other questions:
  • I need help on question 2 and 3
    11·1 answer
  • Write an equation of a line that passes through the point (2, 3) and is parallel to the line y = 3 over 2x + 5.
    7·1 answer
  • The regular price of a T-shirt is $9.99. It is on sale for 15% off. Sales tax is 6%. If you give the cashier a $10 bill, how muc
    12·1 answer
  • The perimeter of an equilateral triangle is 27 centimeters. Find the altitude of the triangle
    13·1 answer
  • Simplify the expression (5 3i) (4-4i) a. 8i b. 9-i c. 9 i d. 9-7i
    11·1 answer
  • 3 roads, A, B, C is three times longer than A. C is twice as long as B. Draw the roads. What fraction of the total length of the
    14·1 answer
  • which of the following is a binomial experiment? a) flipping a coin until it comes up tails b) flipping a coin until 8 heads are
    6·2 answers
  • Find the percent of the quantity of 110% of 300​
    13·2 answers
  • Angelina wins money in a competition. She is given the choice as to how she is paid.
    11·1 answer
  • A local school district requires all fourth graders to complete a 20-minute test containing 200 multiple-choice mathematics prob
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!