BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Mark and Ann together were allocated n boxes of cookies to sell for a club project...

Expert replies
by AAPL » Sat May 16, 2020 9:36 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty

Official Guide

mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 10 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?

A. 11
B. 12
C. 13
D. 14
E. 15

OA A
Join the discussion
Source: — Problem Solving |

AAPL wrote:
Sat May 16, 2020 9:36 am
Official Guide

mark and Ann together were allocated n boxes of cookies to sell for a club project. Mark sold 10 boxes less than n and Ann sold 2 boxes less than n. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?

A. 11
B. 12
C. 13
D. 14
E. 15

OA A
Mark sold 10 boxes less than n and Ann sold 2 boxes less than n
We can write:
n - 10 = number of boxes that Mark sold
n - 2 = number of boxes that Ann sold

Together they (Mark and Ann) have sold less than n boxes
In other words: (# boxes Mark sold) + (# boxes Ann sold) < n
Rewrite as: (n - 10) + (n - 2) < n
Simplify: 2n - 12 < n
Add 12 to both sides: 2n < n + 12
Subtract n from both sides: n < 12

What is the value of n?
We know that n < 12
Check the answer choices . . . only answer choice A (11) is less than 12

Answer: A
Brent Hanneson - Creator of GMATPrepNow.com
Image
Join the discussion