Question

2. The ratio of 7th graders to 8th graders in student council is 2:3.
If there are 51 8th grade students in student council, what is the
total number of students in student council?

Help me please thank you kindly

Answer 1

Answer:

85 students

Step-by-step explanation:

Given

$7th : 8th =2 : 3$

$8th = 51$

Required

Find the total number of students

We have:

$7th : 8th =2 : 3$

Substitute: $8th = 51$

$7th: 51 = 2 : 3$

Express as fraction

$\frac{7th}{51} = \frac{2 }{ 3}$

Multiply both sides by 51

$51 * \frac{7th}{51} = \frac{2 }{ 3} * 51$

$7th= \frac{2 }{ 3} * 51$

$7th= 2 *17$

$7th= 34$

So, the total is:

$Total = 7th + 8th$

$Total = 34 + 51$

$Total = 85$