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
Answer:
E
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
Answer: E
