Problem Overview:
Jenny needs to decide which furniture items to buy within her budget of
$230. The task involves comparing prices in each category (Lamps, Tables, Rugs, Chairs, Mirrors) and selecting the cheaper option in each category. After identifying the cheapest items, we need to ensure that the total cost does not exceed $230.
---
Step-by-Step Solution:
#### 1.
Lamps
- Option 1: $68
- Option 2: $86
- Cheaper option:
$68
#### 2.
Tables
- Option 1: $142
- Option 2: $124
- Cheaper option:
$124
#### 3.
Rugs
- Option 1: $105
- Option 2: $150
- Cheaper option:
$105
#### 4.
Chairs
- Option 1: $136
- Option 2: $163
- Cheaper option:
$136
#### 5.
Mirrors
- Option 1: $76
- Option 2: $67
- Cheaper option:
$67
---
Total Cost Calculation:
Now, let's calculate the total cost of the cheapest items selected from each category:
- Lamps: $68
- Tables: $124
- Rugs: $105
- Chairs: $136
- Mirrors: $67
$$
\text{Total Cost} = 68 + 124 + 105 + 136 + 67
$$
#### Step-by-Step Addition:
1. $68 + 124 = 192$
2. $192 + 105 = 297$
3. $297 + 136 = 433$
4. $433 + 67 = 500$
The total cost of all the cheapest items is
$500, which exceeds Jenny's budget of
$230.
---
Budget Constraint Analysis:
Since the total cost of the cheapest items exceeds Jenny's budget, she cannot afford all the categories with the cheapest options. Therefore, she must prioritize and select only the items she can afford within her budget.
#### Possible Strategy:
Jenny should start by selecting the cheapest items in the most essential categories first (e.g., lamps, tables, rugs) and then see if there is room for additional items like chairs or mirrors.
#### Example Selection:
1.
Lamps: $68
2.
Tables: $124
3.
Rugs: $105
Total so far:
$$
68 + 124 + 105 = 297
$$
This already exceeds the budget. Therefore, Jenny needs to re-evaluate her priorities or consider buying fewer items.
---
Final Answer:
Given the constraints, Jenny cannot afford all the cheapest items within her budget. She must make choices based on her priorities. If she insists on sticking to the cheapest options, she can afford
only a subset of the items. For example, she could afford
lamps ($68) and
tables ($124), totaling
$192, leaving her with
$38 for other items.
If further clarification is needed, please specify her priorities!
$$
\boxed{\text{Jenny cannot afford all the cheapest items within her budget of \$230.}}
$$
Parent Tip: Review the logic above to help your child master the concept of shopping math worksheet.
