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Mrs wen bought 500 markers for her students. She gave 8markers to each girl and 10markers to each boy. After giving the markers to all the boys and girls, she had 54 markers left. How many more boys than girls were there
Please I need help
10b+8g = 500-54 = 446
There is no unique answer to this
b = 4n+3
g = 52 - 5n
Since we want more boys than girls, we need
4n+3 > 52-5n
9n > 49
n > 5
So the choices are
b g
27 22
31 17
35 12
39 7
43 2
To solve this problem, we need to consider the total number of markers Mrs. Wen had and the number of markers she gave to each student. Let's break it down step by step:
1. Calculate the number of markers Mrs. Wen gave to all the girls:
- Mrs. Wen gave 8 markers to each girl.
- The total number of markers given to girls is then the number of girls multiplied by 8.
2. Calculate the number of markers Mrs. Wen gave to all the boys:
- Mrs. Wen gave 10 markers to each boy.
- The total number of markers given to boys is then the number of boys multiplied by 10.
3. Calculate the total number of markers given to all the students:
- The total number of markers given to all the girls and boys is the sum of the markers given to the girls and boys.
4. Calculate the total number of markers Mrs. Wen initially had:
- The total number of markers Mrs. Wen initially had is the sum of the markers given to the students and the remaining markers.
5. Calculate the number of girls:
- We can find the number of girls by subtracting the remaining markers from the total markers given to the girls and boys, then dividing by 8.
6. Calculate the number of boys:
- We can find the number of boys by subtracting the number of girls from the total number of students.
7. Calculate the difference between the number of boys and girls:
- We can calculate the difference by subtracting the number of girls from the number of boys.
By following these steps, we can find the answer to the question of how many more boys than girls there were.