Answer:
$4.45
Explanation:
We solve this question using a system of equations.
I am going to say that the cost of a lollipop is x and that the cost of a chocolate bar is y.
Finian enjoys the candy store. He can purchase 6 lollipops and 4 chocolate bars for $5.10.
This means that
He can purchase 4 lollipops and 7 chocolate bars for $6.65.
This means that
I will use the addition method to solve:
6x + 4y = 5.1
4x + 7y = 6.65
To eliminate x, i will multiply the first equation by -4 and the second by 6.
-24x -16y = -20.4
24x + 42y = 39.9
Adding
-24x + 24x - 16y + 42y = -20.4 + 39.9
26y = 19.5
y = 19.5/26
y = 0.75.
For x:
6x + 4y = 5.1
6x + 4*0.75 = 5.1
6x = 2.1
x = 2.1/6
x = 0.35.
Each lollipop costs $0.35 and each chocolate bar costs $0.75.
Finian decides to purchase 2 lollipops and 5 chocolate bars.
What is the total cost of his purchase?
2*0.35 + 5*0.75 = 4.45
So the correct answer is:
$4.45