To determine how much more one candy costs per ounce than the other candy, we need to compare the cost per ounce of peanut brittle and almond bark. Let's walk through the given information step by step.
First, we know that almond bark costs [tex]$0.25 more per ounce than peanut brittle. We are given the costs of almond bark at different weights:
- 4 ounces of almond bark cost $[/tex]5.
- 12 ounces of almond bark cost [tex]$15.
- 16 ounces of almond bark cost $[/tex]20.
### Step-by-Step Calculation:
1. Calculate the cost per ounce for almond bark at each weight:
- For 4 ounces:
[tex]\[
\text{Cost per ounce} = \frac{5 \text{ dollars}}{4 \text{ ounces}} = 1.25 \text{ dollars per ounce}
\][/tex]
- For 12 ounces:
[tex]\[
\text{Cost per ounce} = \frac{15 \text{ dollars}}{12 \text{ ounces}} = 1.25 \text{ dollars per ounce}
\][/tex]
- For 16 ounces:
[tex]\[
\text{Cost per ounce} = \frac{20 \text{ dollars}}{16 \text{ ounces}} = 1.25 \text{ dollars per ounce}
\][/tex]
2. Determine the consistent cost per ounce for almond bark:
All the computed values for the cost per ounce of almond bark at different weights are [tex]$1.25 per ounce. Therefore, we can conclude:
\[
\text{Almond bark cost per ounce} = 1.25 \text{ dollars per ounce}
\]
3. Using the given relationship between almond bark and peanut brittle:
We are given that almond bark costs $[/tex]0.25 more per ounce than peanut brittle. Therefore:
[tex]\[
\text{Peanut brittle cost per ounce} = \text{Almond bark cost per ounce} - 0.25
\][/tex]
4. Calculate the cost per ounce for peanut brittle:
[tex]\[
\text{Peanut brittle cost per ounce} = 1.25 \text{ dollars per ounce} - 0.25 \text{ dollars per ounce} = 1.00 \text{ dollars per ounce}
\][/tex]
5. Determine how much more one candy costs per ounce than the other:
The almond bark costs [tex]$1.25 per ounce and the peanut brittle costs $[/tex]1.00 per ounce. The difference in cost per ounce is:
[tex]\[
\text{Difference in cost per ounce} = 1.25 \text{ dollars per ounce} - 1.00 \text{ dollars per ounce} = 0.25 \text{ dollars per ounce}
\][/tex]
### Conclusion
One candy (almond bark) costs $0.25 more per ounce than the other candy (peanut brittle).
