Question

Can someone help me with this??

Carlos and Pamela are going on a road trip. They are driving a total of 650 miles in three days to reach the destination. They took it easy the first day. On the second day, they drove twice as many miles as the first day. On the third day, they drove 50 miles more than the second day. How many miles did they drive each day?​

Answer 1

Carlos and Pamela drove 120 miles on the first day, 240 miles on the second day, and 290 miles on the third day.

Explanation:

Let x be the number of miles driven on the first day.

Then they drove twice as many miles, or 2x on the second day

and 50 miles more than the second day's, so 2x + 50

The total is 650 across all three days, so we'll take the sum.

x + 2x + (2x + 50) = 650

Combine like terms on the left

5x + 50 = 650

Subtract 50 on both sides

5x = 600

Divide by 5 on both sides

x = 120

Check work:

120 + 2(120) + 2(120) + 50 = 650

120 + 240 + 240 + 50 = 650

600 + 50 = 650

650 = 650

So they drove 120 miles on the first day

2*120 = 240 miles on the second day

and 2*120 + 50 = 240 + 50 = 290 miles on the third day