The answer is 20.
5*10-5*6=50-30=20
Find the smallest number that is divisible by 2, 3, 4, 5, 6 and add 1.
We need the least common multiple of 2, 3, 4, 5, 6.
2 = 2
3 = 3
4 = 2^2
5 = 5
6 = 2 * 3
LCM = product of common and not common prime factors with larger exponent.
LCM = 2^2 * 3 * 5 = 4 * 3 * 5 = 60
To always have a remainder of 1, you need of add 1 to 60.
The number is 61.
Check:
61/2 = 30 remainder 1
61/3 = 20 remainder 1
61/4 = 15 remainder 1
61/5 = 12 remainder 1
61/6 = 10 remainder 1
<u><em>Answers:</em></u>
a.
miles/day
b. 14 miles
<u><em>Explanation:</em></u>
<u>Part a:</u>
We are given that they paddled a total distance of 14 miles for 3 days. To get the distance paddled each day, we will divide the total paddled distance by the number of days
<u>This is done as follows:</u>
Distance paddled each day =
miles/day
<u>Part b:</u>
<u>Now, we are given that:</u>
<u>i. They went half their daily distance:</u>
Daily distance =
miles/day
<u>ii. They extended the trip twice as many days</u>
Number of days = 2 × 3 = 6 days
The total distance paddled will be equivalent to the product of the distance paddled each day and the total number of days
<u>This means that:</u>
Total distance =
miles
Hope this helps :)