In a school, 4/9 of the students are boys and the number of girls is 775. Find the number of boys in the school.
There are 9 bottles in the refrigerator. Each bottle holds liter of juice. How many liters of juice are in the refrigerator?
A student solved the problem this way:
There are 6 liters of juice in the refrigerator.
Use a similar strategy to solve this problem.
Each boy had cup of peanuts. There were 9 girls and 12 boys.
How many cups of peanuts did the boys have altogether?
A.
cups
B.
cups
C.
cups
D.
cups
To find the number of boys in the school, we first need to find the total number of students.
We are given that 4/9 of the students are boys. This means that the remaining 5/9 of the students are girls.
We know that the number of girls is 775, so we can set up the following equation:
5/9 * Total number of students = 775
To find the total number of students, we can rearrange the equation:
Total number of students = 775 * 9/5
Simplifying the equation:
Total number of students = 1395
Now that we know the total number of students, we can find the number of boys by multiplying the total number of students by the fraction that represents the proportion of boys:
Number of boys = Total number of students * 4/9
Substituting the value we found for the total number of students:
Number of boys = 1395 * 4/9
Simplifying the equation:
Number of boys = 620
Therefore, there are 620 boys in the school.
there are 4/5 as many boys as girls, so ...
let x = total number of students
(1-4/9)x = 755
x = 1359
1359 - 755 = ?