Question

Abena travelled 40% of the distance of her trip alone, went another 35 miles with Saralyn,

and then finished the last half of the journey alone. How many miles long was the journey?​

Answer 1

The journey was 350 miles long

Explanation:

The parameters given are;

Distance traveled by Abena alone = 40% and the last half

∴ Distance traveled by Abena alone = 40% + 50% = 90%

Distance Abena traveled with Saralyn = 35 miles = 100% - 90% = 10%

Hence 10% of Abena's journey = 35 miles

The total distance of Abena's journey therefore, is given as follows

10% = 35 miles

Total distance of Abena's journey = 100% of Abena's journey = 10 × 10%

10 × 10% = 10 × 35 miles = 350 miles

The total distance of Abena's journey = 350 miles.

Answer 2

350 miles long.

Explanation:

First, we analyze the breakdown of the journey

• Abena travelled 40% of the distance of her trip alone.
• She went 35 miles with Saralyn.
• She finished the last half (50%) of the journey alone.

Let the total distance of the journey =x

Therefore:

10% of the total distance of the journey =35 miles

10% of x=35

0.1x=35

Divide both sides by 0.1

x-350 miles

Therefore, the journey was 350 miles long.