An arcade is open for

Question

10.5
hours daily. The arcade keeps
4
attendants on duty at all times, and each attendant's shift is
5.25
hours long.

Which statement best explains how many total shifts are scheduled each day at the arcade?

Responses

Simplify
5.25
10.5
to find that each shift lasts
1
4
of a day. That means there are
4
time shifts each day. Since there are
4
attendants for each of the
4
shifts, multiply
4
⋅
4
to find that there are
16
shifts at the arcade each day.
Simplify 5 point 2 5 over 10 point 5 to find that each shift lasts 1 fourth of a day. That means there are 4 time shifts each day. Since there are 4 attendants for each of the 4 shifts, multiply
4
⋅
4
to find that there are 16 shifts at the arcade each day.

Simplify
5.25
4
to find that each attendant covers the arcade for
1.3125
hours. Since the arcade is open for
10.5
hours, multiply
1.3125
⋅
10.5
to find that there are
13.78
shifts at the arcade each day.
Simplify 5 point 2 5 over 4 to find that each attendant covers the arcade for 1 point 3 1 2 5 hours. Since the arcade is open for 10 point 5 hours, multiply
1.3125
⋅
10.5
to find that there are 13 point 7 8 shifts at the arcade each day.

Simplify
10.5
5.25
to find that there are
2
time shifts each day. Since there are
4
attendants for each of the
2
shifts, multiply
4
⋅
2
to find that there are
8
shifts at the arcade each day.
Simplify 10 point 5 over 5 point 2 5 to find that there are 2 time shifts each day. Since there are 4 attendants for each of the 2 shifts, multiply
4
⋅
2
to find that there are 8 shifts at the arcade each day.

Multiply
10.5
⋅
5.25
to find that there are
55.125
total employee hours worked each day. Since there are
4
attendants that work the
55.125
hours, simplify
55.125
4
to find that there are
13.78
shifts at the arcade each day.
Multiply
10.5
⋅
5.25
to find that there are 55 point 1 2 5 total employee hours worked each day. Since there are 4 attendants that work the 55 point 1 2 5 hours, simplify 55 point 1 2 5 over 4 to find that there are 13 point 7 8 shifts at the arcade each day.
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Answer 1

To determine how many total shifts are scheduled each day at the arcade, you can follow this reasoning:

1. The arcade is open for 10.5 hours daily.
2. Each attendant's shift is 5.25 hours long.

To find the number of shifts scheduled daily, you would divide the total hours the arcade is open by the length of each shift:

\[ \text{Number of shifts} = \frac{\text{Total hours open}}{\text{Length of each shift}} = \frac{10.5 \text{ hours}}{5.25 \text{ hours}} = 2 \]

This means there are 2 shifts each day at the arcade.

Since there are 4 attendants working each shift, you multiply the number of shifts by the number of attendants:

\[ \text{Total shifts} = \text{Number of shifts} \times \text{Number of attendants} = 2 \times 4 = 8 \]

Therefore, the best statement that explains the total number of shifts scheduled each day at the arcade is:

"Simplify 10.5 over 5.25 to find that there are 2 time shifts each day. Since there are 4 attendants for each of the 2 shifts, multiply 4 ⋅ 2 to find that there are 8 shifts at the arcade each day."