Question

Karen is organizing a vacation for a large group of active seniors. If passenger vans can hold 14 people, how many vans will be needed to transport 75 seniors?

a) 6
b) 7
c) 5
d) 8

Answer 1

To transport 75 seniors in vans that each hold 14 people, divide 75 by 14, which results in 5 with a remainder. This means 5 full vans plus an additional van to accommodate the remainder, totalling 6 vans needed.

Step-by-step explanation:

Karen is organizing a vacation for a large group of active seniors and needs to determine how many vans are required to transport 75 seniors and if each can hold 14 people. To calculate this, divide the total number of seniors by the capacity of one van. Here's the mathematical operation: 75 ÷ 14. This gives a result of 5 with a remainder, which means five full vans will be used and a sixth van will be needed to accommodate the remaining seniors.

To completely answer the question:

1. Divide the total number of seniors by the capacity of one van: 75 ÷ 14 = 5 R5
2. Because 5 vans will not be enough for 75 people since there is a remainder, a sixth van will be required.
3. Therefore, 6 vans are needed to transport all 75 seniors.

The correct answer is (a) 6.