+0

# mathsssss

0
162
2

When a certain pot is filled with cream of mushroom soup, it weighs 19 kg. When it is filled with clear chicken broth, it weighs 9 kg. If the cream of mushroom soup is 3 times as heavy as the clear chicken broth, how heavy is the pot?

Guest Jun 5, 2017
Sort:

#1
+1

Let the weight of the pot =P

Let the weight of the clear chicken broth =C

P + C  = 9, and

P + 3C =19, solve for C, P

Solve the following system:
{C + P = 9 | (equation 1)
3 C + P = 19 | (equation 2)
Swap equation 1 with equation 2:
{3 C + P = 19 | (equation 1)
C + P = 9 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 C + P = 19 | (equation 1)
0 C+(2 P)/3 = 8/3 | (equation 2)
Multiply equation 2 by 3/2:
{3 C + P = 19 | (equation 1)
0 C+P = 4 | (equation 2)
Subtract equation 2 from equation 1:
{3 C+0 P = 15 | (equation 1)
0 C+P = 4 | (equation 2)
Divide equation 1 by 3:
{C+0 P = 5 | (equation 1)
0 C+P = 4 | (equation 2)
Collect results:
Answer: | C = 5        and               P = 4

Guest Jun 5, 2017
#2
+7189
+1

When a certain pot is filled with cream of mushroom soup, it weighs 19 kg. When it is filled with clear chicken broth, it weighs 9 kg. If the cream of mushroom soup is 3 times as heavy as the clear chicken broth, how heavy is the pot?

I.           p+com=19kg

II.            p+ccb=9kg

III.             com=3ccb

III. in I. p+3ccb =19kg

II.         p + ccb = 9kg

diff.          2ccb = 10kg

/ 2              ccb = 5kg

II             p+5kg=9kg

- 5kg

p=4kg

The pot weighs 4kg

!

asinus  Jun 5, 2017

### 10 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details