Question

Gary has twice as many m&ms as larry. Jerry has three times as many m&ms as larry. Together the tree men have 108 m&ms. How many m&ms does gary have?

Answer 1

36

Explanation:

Let number of m&ms Garry has be g

number of m&ms Larry has be l

Number of m&ms Jerry has be j

Since Gary has TWICE as Larry, we can write:

g = 2l

Also, Jerry has THRICE as Larry, we can write:

j = 3l

Together, they have 108, thus, we can write:

g + l + j = 108

Putting 1st and 2nd equation in 3rd, we can solve for Larry first. Shown below:

`g + l + j = 108\\2l+l+3l=108\\6l=108\\l=(108)/(6)\\l=18`

Larry has 18. To find Gary's number, we can use the fact g = 2l, so

g = 2 * 18 = 36

Gary has 36 m&ms