the roses exceeded

Question

The roses exceeded the violets by 222.  If the number of roses was 60 more than twice the number of violets, how many violets were there?

Answer 1

R = V + 222   Equation 1

R = 2V + 60   Equation 2

 

Subtract Equation 1 from Equation 2 to get:

0 = V - 162

 

so:

V = 162, which is the answer you are looking for.

 

You can also get the number of roses by plugging V into Equation 1

 

R = 162 + 222 = 384

 

Check values in Equation 2 to verify solution is correct:

 

384 = 2 * 162 + 60

384 = 324 + 60

384 = 384  Solution checks out, so you are done