Three photographers , Lisa, Mike and Norm, take photos of a

[BTGmoderatorLU]

Source: EMPOWERgmat

Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 50 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take?

A. 40
B. 50
C. 60
D. 80
E. 90

The OA is E.

[Jay@ManhattanReview]

Source: EMPOWERgmat

Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 50 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take?

A. 40
B. 50
C. 60
D. 80
E. 90

The OA is E.

Say the number of photos taken by Lisa, Mike and Norm are l, m and n, respectively.

Given, the total of Lisa and Mikes photos is 50 less than the sum of Mike's and Norms, we have

l + m = m + n - 50
=> l = n -50 ---(1)

Given, Norms photos number 10 more than twice the number of Lisa's photos, we have

n = 2l + 10 ---(2)

From (1) and (2), we have n = 90.

The correct answer: E

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: Dilsukhnagar | Mehdipatnam | Guntur | Tarnaka | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

[Scott@TargetTestPrep]

Source: EMPOWERgmat

Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 50 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take?

A. 40
B. 50
C. 60
D. 80
E. 90

We can create the equations:

L + M = M + N - 50

L = N - 50

and

N = 10 + 2L

Substituting, we have:

N = 10 + 2(N - 50)

N = 10 + 2N - 100

N = 90

Answer: E

[GMATGuruNY]

Source: EMPOWERgmat

Three photographers, Lisa, Mike and Norm, take photos of a wedding. The total of Lisa and Mikes photos is 50 less than the sum of Mike's and Norms. If Norms photos number 10 more than twice the number of Lisa's photos, then how many photos did Norm Take?

A. 40
B. 50
C. 60
D. 80
E. 90

The sum for Lisa and Mike is 50 less than the sum for Norm and Mike.
Since Mike is common to both sums, the 50-photo difference must be yielded solely by Lisa and Norm.
Implication:
Lisa took 50 fewer photos than Norm.

We can PLUG IN THE ANSWERS, which represent the number of photos taken by Norm.
When the correct answer is plugged in, Norm will take 50 more photos than Lisa.
Let N = Norm and L = Lisa.

D: N=80
Since Norm's total is 10 more than twice Lisa's, we get:
2L = 70.
L = 35.
In this case, N-L = 80-35 = 45.
Since the difference is too small, a greater answer choice is needed.

The correct answer is E.