Ezekiel has `$5.00` to spend onsnacks. Candy bars cost `$0.60` each, gum costs `$0.50` per pack and nuts are priced at `$1.29` per small bag. If c represents the number of candy bars, g represnts the number of packs of gum, and n represents the number of bags of nuts, whichh of the following inequalities correctly describes Ezekiel's choices ?

Options

A. ` (c )/(0.60) + (g)/(0.50) + (n)/(1.29) le 1/5`
B. `c +g +n le 5`
C. ` 0.60 c + 0.50g + 1.29n le 5.00`
D. `0.60 + 0.50 g +1.29n ge 5.00`

Explanation

To formulate the inequality that describes Ezekiel's choices for spending on snacks, we can follow these steps:

### Step 1: Identify the costs of each snack
- Candy bars cost $0.60 each.
- Packs of gum cost $0.50 each.
- Bags of nuts cost $1.29 each.

### Step 2: Define the variables
- Let \( c \) represent the number of candy bars.
- Let \( g \) represent the number of packs of gum.
- Let \( n \) represent the number of bags of nuts.

### Step 3: Write the total cost expression
The total cost for each type of snack can be expressed as:
- Cost of candy bars: \( 0.60c \)
- Cost of gum: \( 0.50g \)
- Cost of nuts: \( 1.29n \)

### Step 4: Set up the inequality
Ezekiel has a maximum of $5.00 to spend, so the total cost must be less than or equal to $5.00:
\[ 0.60c + 0.50g + 1.29n \leq 5.00 \]

### Step 5: Finalize the inequality
The inequality that correctly describes Ezekiel's choices is:
\[ 0.60c + 0.50g + 1.29n \leq 5.00 \]