i) There are 180 students in a class. Number of girls are 75.Find the ratio of number of girls to
the number of boys.
Answers
Answer:
Number of Boys” = 4 TO “Number of Girls” = 5. The key is the word, “TO”because it tells you in exactly what order they are comparing the two groups AND also in what ratio they are comparing the two groups. This comparison can be written three different ways: 4 to 5; 4 : 5; or 4/5.
This means that for every 4 boys, there are 5 girls. The second part says that the total number of students are 54.
We could think for every: 4 boys→5 girls OR 8 boys→10 girls OR 12 boys→15 girls OR 16 boys → 20 girls. Notice the pattern? The boys are growing by 4s while the girls are growing by 5s. So: (4 times x) + (5 times x) = 54 will be our equation.
Since the same variable is in both parts, they are ‘like terms’ so we can add them. 9x = 54. Divide both sides by 9 and you get that x = 6. So you now substitute 6 back into the 4x + 5x = 54 equation: 4(6) + 5(6) = 54 to check your answer. Boys = 24 + Girls = 30 does indeed = 54 students.
Answer:
Total number students=180
Number of Girls=75
Number of Boys=180-75
=105
Ratio of boys to girls=75:105
=5:7
Step-by-step explanation:
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