Answer:
Ratio = 5/12
Jack had = $972
Step-by-step explanation:
<u>Given:</u>
- Total money $1377
- Amy had = x
- Jack had = y
- Amy spent = 0.8x
- Jack spent = 1/3y
<h3>Part A</h3>
<u>Since they spent same amount of money:</u>
- 0.8x = 1/3y
- 8/10x=1/3y
- x/y = 10*1/8*3 = 5/12
The ratio was 5/12
<h3>Part B</h3>
<u>Sum of money:</u>
<u>As per ratio, x = 5/12y, substituting x in above equation:</u>
- 5/12y + y = 1377
- 17/12y = 1377
- y = 1377*12/17
- y = 972
Jack had $972
Answer:
The answer is "Option a".
Step-by-step explanation:
Dispute C comes under factual dispute because the words Vacaville or Victorville are two different places and they are arguing about the fact that's why option a is correct.
Answer:each session of body sculpting workouts burns 51 calories.
Each session of Yoga workouts burns 83 calories.
Step-by-step explanation:
Let x represent the number of calories that she burnt doing one body sculpting workout session.
Let x represent the number of calories that she burnt doing one Yoga session.
Last week, she burned a total of 517 calories by doing 2 body sculpting workouts and 5 yoga sessions. This means that
2x + 5y = 517 - - - - - - - - - -1
This week, she has completed 2 body sculpting workouts and 1 yoga session and burned a total of 185 calories. This means that
2x + y = 185 - - - - - - - - - - - - 2
Subtracting equation 2 from equation 1, it becomes
4y = 332
y = 332/4 = 83 calories
Substituting y = 83 into equation 2, it becomes
2x + 83 = 185
2x = 185 - 83 = 102
x = 102/2 = 51 calories
Answer:
- first number = 89
- second number = 534
- third number = 189
Step-by-step explanation:
Let the first number be x
Given second number is 6 times a first number.
If first number is x then second number is 6*x = 6x
Given third number is 100 more than the first number
If first number is x then third number is x+100 = x+100
Sum of these three numbers in terms of x
is
sum = x+ 6x+x+100 = 8x+100 __________1
Given, that sum of these numbers is 812.
equating 812 with equation 1 we have,
8x+100 = 812
=> 8x = 812- 100
=> 8x = 712
=> x = 712/8 = 89.
Therefore,
first number = x = 89
second number = 6x = 89*6= 534
third number = x+100 = 89+100 = 189
