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swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

Word Problems

by swerve » Mon Jul 13, 2020 4:35 am

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At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0.74. The total cost of 1 chocolate bar and 1 lollipop is $0.92. The total cost of 1 gumball and 1 chocolate bar is $1.24. what is the cost in dollars of 1 chocolate bar?

A. 0.53
B. 0.59
C. 0.63
D. 0.67
E. 0.71

The OA is E

Source: Magoosh

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Source: Beat The GMAT — Problem Solving | Mon Jul 13, 2020 4:35 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8088; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: Word Problems

by Scott@TargetTestPrep » Sun Jul 19, 2020 9:01 am

swerve wrote: ↑
Mon Jul 13, 2020 4:35 am
At Joe's candy store, the total cost of 1 gumball and 1 lollipop is $0.74. The total cost of 1 chocolate bar and 1 lollipop is $0.92. The total cost of 1 gumball and 1 chocolate bar is $1.24. what is the cost in dollars of 1 chocolate bar?

A. 0.53
B. 0.59
C. 0.63
D. 0.67
E. 0.71

The OA is E

Solution:

Let G, L and C be the cost of 1 gumball, 1 lollipop and 1 chocolate bar, respectively. We can create the equations:

G + L = 0.74

C + L = 0.92

and

G + C = 1.24

Adding the 3 equations together, we have:

2G + 2L + 2C = 2.9

G + L + C = 1.45

Since G + L = 0.74, we have

0.74 + C = 1.45

C = 0.71

Answer: E

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