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Question

Mathematics Question on Elementary Mathematics

A box of light bulbs contains 24 bulbs. A worker replaces 17 bulbs in the shipping department and 13 bulbs in the accounting department. How many boxes of bulbs did the worker use?

A

1

B

1(14)1(\frac{1}{4})

C

1(34)1(\frac{3}{4})

D

2

Answer

1(14)1(\frac{1}{4})

Explanation

Solution

The correct option is (B): 1(14)1(\frac{1}{4})
Explanation: To find out how many boxes of light bulbs the worker used, we first calculate the total number of bulbs replaced:
1. Total bulbs replaced:
- In the shipping department: 17 bulbs
- In the accounting department: 13 bulbs
Total bulbs replaced=17+13=30 bulbs\text{Total bulbs replaced} = 17 + 13 = 30 \text{ bulbs}
2. Bulbs per box:
- Each box contains 24 bulbs.
3. Number of boxes used:
To find the number of boxes, we divide the total bulbs replaced by the number of bulbs per box:
Number of boxes=3024=1.25\text{Number of boxes} = \frac{30}{24} = 1.25
This can be expressed as:
114 boxes1 \frac{1}{4} \text{ boxes}
Thus, the worker used 1(14)1(\frac{1}{4}) boxes of bulbs, making the correct answer Option B: 1(14)1(\frac{1}{4}).