The smoke alarms in an office building need new batteries. Larry has 1,311 batteries. Each office in the building needs 6 batteries. How many offices will get new batteries? How many batteries will be left? (1 point) Responses 320 offices, 3 batteries left 320 offices, 3 batteries left 218 offices, 3 batteries left 218 offices, 3 batteries left 221 offices, 1 battery left 221 offices, 1 battery left 218 offices, 5 batteries left

1 answer

To determine how many offices can get new batteries and how many batteries will be left, you can divide the total number of batteries by the number of batteries needed per office.

Larry has 1,311 batteries, and each office needs 6 batteries.

  1. Calculate the number of offices that can get new batteries: \[ \text{Number of offices} = \frac{1,311 \text{ batteries}}{6 \text{ batteries/office}} = 218.5 \] Since you cannot have a fraction of an office, we can only supply batteries to 218 offices.

  2. Now, calculate how many batteries will be used for 218 offices: \[ \text{Batteries used} = 218 \text{ offices} \times 6 \text{ batteries/office} = 1,308 \text{ batteries} \]

  3. Subtract the batteries used from the total number of batteries to find the number left: \[ \text{Batteries left} = 1,311 \text{ batteries} - 1,308 \text{ batteries} = 3 \text{ batteries} \]

Putting it all together, Larry can supply new batteries to 218 offices and will have 3 batteries left.

The correct response is: 218 offices, 3 batteries left.