Answer:
Using the table
Maria does 1/4 of the job in 1 hour since it takes her 4 hours to complete the job , she works x hours and completes x/4 of the task
Josie does 1/2 of the job in 1 hour since it takes her 2 hours to complete the job , she works x hours and completes x/2
x/4 + x/2 = 1 completed task
Multiply by 4
x/4 *4 + x/2*4 = 1*4
x+2x =4
3x=4
x = 4/3
x = 1 1/3 hours
We would need to know how many are in each box to figure this out.
1/2 - 1/4x ≥ -1/4
Combine 1/4x to get x/4:
1/2 - x/4 ≥ -1/4
Subtract 1/2 from both sides:
-x/4 ≥ -1/4 - 1/2
Simplify:
-x/4 ≥ -3/4
Multiply both sides by 4:
-x ≥ -3/4 * 4
-x ≥ -3
Multiply each side by -1 ( and since you are multiplying by -1, you also need to reverse the inequality sign)
Answer: x ≤ 3
28÷1.5=18.67
meaning that more, than 17 discs can be placed in the box.
To solve this problem you must apply the proccedure below:
1. You have that one canned juice drink is 20% orange juice and another is 5% orange juice.
2. You must make a system of equation, as below:
x+y=15 (i)
0.20x+0.05y=0.15x15 (ii)
3. Now, you must find the value of x (the liters of the first canned needed) and y (the liters of the other canned needed):
x+y=15 (i)
x=15-y
0.20x+0.05y=0.15x15 (ii)
0.20(15-y)+0.05y=2.25
y=5 liters
x+y=15 (i)
x=15-5
x=10 liters
4. Therefore, the asnwer is:
10 liters of the canned juice drink that is 20% orange juice and 5 liters of the other canned juice drink that is 5% orange juice.
