Question

Richard and Linda enjoy visiting Hilton Head Island, South

Carolina. The distance from their home to Hilton Head is
975 mi, so the drive takes them 2 days. Richard and Linda
travel twice as far the first day as they do the second day.
How many miles do they travel each day?

Answer 1

first day: 650, second day: 325

Explanation:

Let x be the number of miles travelled on the second day and 2x the number of miles travelled on the first day. They add up to 975.

2x+x=975

3x=975

x=325

x represents the number of miles travelled on the second day so they travelled 650 miles on the first day and 325 miles on the second day.

Answer 2

650 miles the first day, 325 miles the second day

Explanation:

We can call the distance they traveled on the first day as 2x and the distance they traveled on the second day as x. The former is 2x because they traveled twice as far the first day compared to the second day. Since the total distance traveled is 975 miles, we can write the following equation to solve for x:

`2x + x = 975`

`3x = 975` (Simplify LHS; 2x + x = 3x)

`(3x)/(3)=(975)/(3)` (Divide both sides of the equation by 3 to get rid of the coefficient on x)

`x = 325` (Simplify)

Therefore,
`2x = 2 * x = 2 * 325 = 650` so the final answer is they traveled 650 miles the first day and 325 miles the second day. Hope this helps!