Kevin and Brittany write an equation to represent the following relationship, and both students solve their equation. Who found
the correct equation and solution? Why is the other person incorrect?
5 times the difference of a number and 20 is the same as half the sum of 4 more than 4 times a number.
5 times the difference of a number and 20 is the same as half the sum of 4 more than 4 times a number.
1 answer:
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I hope this is the right answer
Answer:
a) There is no a word problem for both expressions ( and
), b) A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left? A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?
Step-by-step explanation:
a) The shampoo problem is a word problem for:
(Final content) = (Initial content) - (Used content)
Then,
Or:
Hence, there is no a word problem for both expressions ( and
).
b) The word problem for is:
A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left?
The word problem for is:
A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?
Recall that
There are three cases to consider:
(1) When
, we have 
and 
, so
(2) When
and 
, we get 
and , so
(3) When
, we have and 
, so
So
There are three cases to consider:
(1) When
(2) When
(3) When
So
Answer:
- $500
Step-by-step explanation:
<h3>Given</h3>- Sofa = s
- Love seat = l
- Chair = c
- Sofa and love seat cost = $1300
- Sofa and 2 chairs cost = $1400
- Sofa, love seat and one chair cost = $1600
- Love seat = ?
<u>Equations as per given are:</u>
- s + l = 1300
- s + 2c = 1400
- s + l + c = 1600
<u>Subtract equation 1 from equation 3:</u>
- s + l + c - s - l = 1600 - 1300
- c = 300
<u>Considering this in the equation 2:</u>
- s + 2*300 = 1400
- s = 1400 - 600
- s = 800
<u>Substituting s in the equation 1:</u>
- 800 + l = 1300
- l = 1300 - 800
- l = 500
<u>Answer:</u> Love seat costs $500
