On a 3 day hike, Robert hiked twice as many miles on the first day as on the second day. On the third day he hiked 5 miles. Carlos hiked 5 miles on the first day and three times as many miles as on the second day as on the third day.
(a) Write and simplify an expression for the total number of miles Robert hiked.
(b) Robert hiked 6 miles on the second day. How many miles did Robert hike in all?
(c) If Carlos hiked 4 miles on the third day, which boy hiked a greater total distance? Explain.
For part (a), I wrote x (2) +5 = x
For part (b), I wrote 6 + 5 = 11
For part (c), I wrote Carlos hike a greater total distance because 19 > 11.
If this is not correct, please help me?
http://www.jiskha.com/display.cgi?id=1429755553
7
19 grater than
Your approach for part (a) and part (b) is correct, but your answer for part (c) is incorrect.
(a) For the total number of miles Robert hiked, given that he hiked twice as many miles on the first day as on the second day, we can represent the number of miles hiked on the second day as "x." So, the number of miles hiked on the first day would be 2x. On the third day, he hiked 5 miles. Therefore, the total number of miles Robert hiked can be represented as:
2x + x + 5
(b) If Robert hiked 6 miles on the second day, we can substitute this value into the expression derived in part (a):
2(6) + 6 + 5 = 12 + 6 + 5 = 23
So, Robert hiked a total of 23 miles.
(c) If Carlos hiked 4 miles on the third day, we can determine the total number of miles Carlos hiked using the information given:
On the first day, he hiked 5 miles, and on the second day, he hiked three times as many miles as on the third day, which is 4 * 3 = 12 miles. Therefore, the total number of miles Carlos hiked is:
5 + 12 + 4 = 21
Comparing the totals, we see that Carlos hiked a greater total distance (21 miles) compared to Robert (23 miles). Therefore, Carlos hiked a greater total distance.