Question

There are 236 juniors and seniors in Mr. Jay's math class. There are 4 fewer juniors than twice the number of seniors. How many juniors are in his class?

Question 17 options:

118


80


156


116


64

Answer 1

156

Explanation:

Let number of juniors be j and number of seniors be s

Thus, we can write:

236 juniors and seniors in Mr. Jay's math class:

j + s = 236

Also

There are 4 fewer juniors than twice the number of seniors:

j = 2s - 4

Now putting equation 2 into 1, we can solve for s:

j + s = 236

2s - 4 + s = 236

3s = 240

s = 80

Hence, juniors is:

j = 2s - 4

j = 2(80) - 4

j = 156

There are 156 juniors