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
Musya8 [376]
1 year ago
10

The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh

t. What was Jane's weight at first?
Mathematics
1 answer:
postnew [5]1 year ago
3 0

Answer:

  48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

__

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

  x/y = 8/9

After the changes in weight, they were equal:

  x+2 = y-4

__

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

  y = x +6 . . . . . . . . . . solve the second equation for y

  x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

  9x = 8(x +6) . . . . . . . multiply by 9(x+6)

  x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

You might be interested in
It takes a 2 1/2 yard from a bolt of fabric to make a costume for a school play. How much fabric would be needed for 8 costumes
Genrish500 [490]

Answer:

20 yards of fabric

Step-by-step explanation:

you can find this answer more easily by timing 2 by 8 then timing 1/2 by 8 witch would be 16 and 4 then all you do is add 16 and 4 to get 20

5 0
2 years ago
I need help with this question?
tekilochka [14]

Answer:

8.5 h = 510 min

Step-by-step explanation:

An hour is equal to 60 minutes. Half an hour is 30 minutes.

We can break "8.5" into 8 hours and 0.5 of an hour (which is 30 minutes).

Knowing this, we can multiply 8 by 60 since each hour is 60 minutes. We then get 480. We still need to add the remaining 0.5 of an hour (30 minutes) so we add 480 + 30. We then get 510.

Therefore 8.5 hours = 510 minutes. Hope this helps!

5 0
3 years ago
Read 2 more answers
160 is what % of 40<br> plz explain
wolverine [178]

Answer:

150%

Step-by-step explanation:

this is because you can make a part to whole ratio where you have x/100 (which would symbolize the percent) and 160/40 (which would symbolize the part) then, multiply 160 by 100 to get 16000 and then divide by 40 to fulfill the x. Hope this helps!

3 0
3 years ago
Max and Leah each have a lemonade stand . Max sold 12 glasses the first hour and 10 glasses each hour after that . Leah sold 8 g
Lesechka [4]

Answer:

max wil sell 52 because the first hour he sold 12 5hours -1 hour = 4 hour

4 hour × 10 p/h= 40

max sold 12+40 =52

leah will sell 58 because the first hour she sold 8

5hours - 1hour = 4 hours

4hours× 10 glasses p/h = 40

leah sold 40+8 =48 glasses

4 0
3 years ago
Can someone tell me if this adjacent , vertical or linear
babymother [125]

Answer:

adjacent

you can search it up it's one of the first pictures

5 0
2 years ago
Other questions:
  • By what percent will the product of two numbers decrease if one of them is decreased by 25% and the other one is decreased by 50
    12·1 answer
  • What is the percent of 225 is 45
    9·2 answers
  • "D" size batteries produced by MNM Corporation have had a life expectancy of 87 hours. Because of an improved production process
    9·1 answer
  • Which expression are equivalent to 1/5 × 1/5×1/5×1/5​
    15·1 answer
  • Domain of {(-5, 4), (-4, -1), (-2, 1), (0, 4), (1,3)}
    9·1 answer
  • How do you write 8.4% as a fraction in simplest form
    7·1 answer
  • katrina makes 8 free throws for every 10 attempts at this rate how many free throws will she make in 25 attempts
    8·1 answer
  • Circumfrence of circle with radius of 32in
    10·1 answer
  • Please help asap! I'll give brainly!
    8·1 answer
  • Please help me!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!