Form an equation to help you solve this problem.A school bus is full as it sets off. At the first stop 3 children get off and at the next stop a third
of the remaining children get off, leaving the bus only half full.
How many children were on the bus at the start?
Answers
Answer:
12
Step-by-step explanation:
If there are x children on the bus at the start, after the first stop, there are (x-3) remaining. After two stops, the number on the bus is ...
x/2 = x -3 -(1/3)(x -3)
Multiplying by 6, we have ...
3x = 6x -18 -2(x -3)
3x = 4x -12 . . . . simplify
12 = x . . . . . . . . add 12-3x
There were 12 children on the bus at the start.
_____
Check
After 3 got off at the first stop, there were 12-3 = 9 remaining. 1/3 of those, or 9/3=3 got off at the second stop, so 9 -3 = 6 remained. This is half the original number, as required.
Final answer:
Let X represent the number of children on the bus originally. The equation formed is 2/3*(X - 3) = X/2, and when we solve it, we find that X equals 12 which indicates that there were 12 children on the bus at the start.
Explanation:
Let's denote the number of children on the bus at the start as X. After the first stop, the number of children on the bus became X - 3, because 3 children got off. After the second stop, a third of the remaining children got off, so the number of children on the bus became 2/3*(X - 3). According to the problem, after all the stops, the bus was half full. Therefore, we can set up an equation: 2/3*(X - 3) = X/2.
To solve the equation, we can multiply all terms by 6 to clear out the fractions and obtain the equation: 4*(X - 3) = 3X. This simplifies to 4X - 12 = 3X which simplifies further to X = 12, meaning there were initially 12 children on the bus.
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The product of two consecutive odd integers is 2,115. Find the integers. Which of the following quadratic equations could be used to solve the word problem?a. x² + x - 2,115 = 0b. x² + 2x - 2,115 = 0c. x² + 2x + 2,115 = 0
What are the answers to the following.
Carlos went out to a restaurant for dinner. he tipped 25% of his bill, which brought the sum of the dinner bill plus the tip to $45. how much was the original bill?
Answers
And we also know that a square has 4 sides.
So we take the measurement of the perimeter, which is 78.4 and divide it by 4, which is the number of sides.
to find the length of each side=
= 19.6
In conclusion 19.6 units is the length of each side.
Note: if the unit of measurement is given(for e.g: in,m,cm...), we have to include it.
Quick Check: 19.6+19.6+19.6+19.6=78.4
13
Answers
Answer: To find the distance between -32 and 13, we need to calculate the absolute difference between the two numbers.
The absolute difference is the positive value of the subtraction of one number from another. In this case, we subtract -32 from 13.
13 - (-32) = 13 + 32 = 45.
Therefore, the distance between -32 and 13 is 45 units.
Answers
Answers
diameter = 2 r
7.38 = 2 r (3.14)
7.38/3.14 = 2 r
2 r = 2.35 cen.
diameter needs to be 2.35 cen.
Answers
2x-3y= 1
This can be found by using a system but I will try this method:
x=13-y
We replace it on the second one:
2(13-y) + y = 13
26-2y + y=13
-y= -13
y= 13
Answers
Answer: 8/-18
Step-by-step explanation: