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
qaws [65]
3 years ago
5

AT first, shop A had 156 kg of rice and shop B had 72 kg of rice. After each shop sold the same quantity of rice, the amount of

rice left in Shop A was 4 times that of Shop B. How many kilograms of rice did Shop B sell
(Please give an easy method)​
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0

Answer:

44 kg, and since both sold the same amount so did A.

Let me know if this method doesn't make sense though and I should be able to explain it.

Step-by-step explanation:

Both shops sold the same amount, let's call it x.

At the end, let's say shop B had y left, this means A would have 4y left, since the question says "After each shop sold the same quantity of rice, the amount of rice left in Shop A was 4 times that of Shop B"

So this means A started with 156, sold x and was left with 4y, or in math 156 - x = 4y

B you could write 72 - x = y

Now you have a system of equations.

156 - x = 4y

72 - x = y

There are a number o ways to look at this.  If you graph them you want the (x, y) coordinates where they intersect, or in other words the x and y values that work for both of these equaions.  

The methods all wing up making you solve for one variable and plugging it into the other equation to solve for the other.  The easiest method is probably canceling out.

156 - x = 4y

72 - x = y

Now, for these two the goal is to make one of the variables go away by adding or subtracting one equation from the other.  You could also multiply one by something.  In fact here are all possibilities.  

If you subtract one from the other here is what would happen.

156 - x = 4y

-(72 - x = y)

_________

156 - x = 4y

-72 + x = -y because you distribute the minus sign

_________

84 = 3y because 156-72 = 84, -x + x = 0 so they canceled out and 4y - y = 3y

28 = y because you divide both sides by 3.

It's all just algebra after the addition/ subtraction.  You could also do it the other way subtracting 156 - x = 4y from 72 - x = y.  Either way would cancel the xs.  But now that you know y = 28 you can plug that into either of the equations again to find x.

156 - x = 4y

156 - x = 4(28)

156 - x = 112

156 = 112 + x

44 = x

72 - x = y

72 - x = 28

72 = 28 + x

44 = x

Now, if you wanted to cancel the ys initially you would have to multiply.

156 - x = 4y

72 - x = y

Normally subtracting just got rid of the xs.  You would need to multiply the bottom one by 4 to get rid of ys.

156 - x = 4y

288 - 4x = 4y

Now if you subtracted one from the other the 4ys would cancel.  You could also divide the top one by 4 and get

39 - x/4 = y

72 - x = y

here you have a fraction though and that's gonna make things a little more difficult.

Let me know if this method doesn't make sense though and I should be able to explain it.

You might be interested in
5(b)
viva [34]

If the side length is greater than 11.11 cm then it will not overflow.

Otherwise, it will overflow.

If Joe tips the bucket of water in a cuboid container and the water is not overflowing then the cuboid container must be of volume greater than 1370 cm³.

We find the cube root of 1370 cm³.

\sqrt[3]{1370} \approx11.11

Then the cuboid container should have a side of length greater than 11.11 cm.

Here the statement  "If I tip my bucket of water in the cuboid container, it will never overflow" is correct or wrong based on the information that the container has a side length lesser or greater than 11.11 cm.

If the side length is greater than 11.11 cm then it will not overflow.

Otherwise, it will overflow.

Learn more about volume here-

brainly.com/question/1578538

#SPJ10

7 0
1 year ago
What pair of numbers will multiply to -56 and combine to 1?
pashok25 [27]
8 and -7. 8 + (-7) = 1 and 8 times -7 = -56
6 0
3 years ago
HELP !!!<br> What is the center of the circle? A. (-2,0) B. (3,-1) C. (-3,4) D. (2,-5)
vovangra [49]

Answer:

3, -1

Step-by-step explanation:

because that is the point that is at the center :)

8 0
3 years ago
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t
likoan [24]

Hello from MrBillDoesMath!

Answer:

a(n) = -3n  , n>= 1

Discussion:

a(1) = -3

a(2) = -6

a(3) = -9

a(4) = -12

The pattern looks like a(n) = -3n

Thank you,

MrB

6 0
3 years ago
What is the constant of proportionality for the relationship between the length of the arc intercepted by a 80 degree angle and
Over [174]
So the length of the arc is given by: l = r*theta, here theta is the intercepted angle in unit radian

So, 80 degrees = 80/360 * 2pi = 4/9 * pi 

So l = r * (4/9 * pi), the constant ratio is 4/9 * pi
3 0
3 years ago
Other questions:
  • The body of a person who weighs 50 kilograms consists of 32.5 kilograms of oxygen, 9 kilograms of carbon, 5 kilograms of hydroge
    9·1 answer
  • One positive number is 5 times another number. The difference between the two is 1480.
    6·1 answer
  • Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?
    15·1 answer
  • Timo was curious if quadrilaterals LMNR and PQNO were similar, so he tried to map one figure onto
    10·2 answers
  • Pls I need help<br> Solve <br> x-4=⅓(6x-54)
    6·2 answers
  • What is the Hypotenuse Leg Theorem?
    11·1 answer
  • Two classes at Liberty Middle School are setting up imaginary banks for an economics project. Class 1 has $50 in a savings accou
    12·1 answer
  • Calculate the volume of a cylinder of diameter 6cm and height 10cm
    5·1 answer
  • I don't know how to do this I need help​
    7·2 answers
  • 4z to the third power minus six when z is equal to 2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!