## At Joe's candy store, the total cost of $$1$$ gumball and $$1$$ lollipop is $$\0.74.$$ The total cost of $$1$$ chocolat

##### This topic has expert replies
Legendary Member
Posts: 2276
Joined: 14 Oct 2017
Followed by:3 members

### At Joe's candy store, the total cost of $$1$$ gumball and $$1$$ lollipop is $$\0.74.$$ The total cost of $$1$$ chocolat

by VJesus12 » Thu Nov 05, 2020 8:19 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

Source: Magoosh

### GMAT/MBA Expert

GMAT Instructor
Posts: 6489
Joined: 25 Apr 2015
Location: Los Angeles, CA
Thanked: 43 times
Followed by:26 members

### Re: At Joe's candy store, the total cost of $$1$$ gumball and $$1$$ lollipop is $$\0.74.$$ The total cost of $$1$$ choc

by [email protected] » Tue Nov 10, 2020 6:16 am
VJesus12 wrote:
Thu Nov 05, 2020 8:19 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

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

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

### GMAT/MBA Expert

GMAT Instructor
Posts: 16084
Joined: 08 Dec 2008
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1267 members
GMAT Score:770

### Re: At Joe's candy store, the total cost of $$1$$ gumball and $$1$$ lollipop is $$\0.74.$$ The total cost of $$1$$ choc

by [email protected] » Fri Dec 03, 2021 7:34 am
VJesus12 wrote:
Thu Nov 05, 2020 8:19 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

Source: Magoosh
We can solve this question using three variables or one variable.
Let's use one variable.

We're asked to find the cost of one chocolate bar.
So, let's let c = the cost of one chocolate bar (in dollars)

The total cost of 1 chocolate bar and 1 lollipop is $0.92. So, the cost of 1 lollipop =$0.92 - (the cost of 1 chocolate bar)
In other words, the cost of 1 lollipop = 0.92 - c

The total cost of 1 gumball and 1 lollipop is $0.74. So, the cost of 1 gumball =$0.74 - (the cost of 1 lollipop )
In other words, the cost of 1 gumball = 0.74 - (0.92 - c)
Simplify to get: the cost of 1 gumball = c - 0.18

The total cost of 1 gumball and 1 chocolate bar is \$1.24
We can write: (c - 0.18) + (c) = 1.24
Simplify: 2c - 0.18 = 1.24
Add 0.18 to both sides: 2c = 1.42
Solve: c = 1.42/2 = 0.71