Word Problems — Quiz 8

Questions in this quiz (10)

1. A snack mix is made of 20% almonds and 80% walnuts. The mix costs 8% more than pure almonds. Are walnuts more expensive than almonds? If so, by how much?

   • Walnuts are $$10\%$$ more expensive than almonds.
   • Almonds are $$10\%$$ more expensive than walnuts.
   • Almonds are $$88\%$$ more expensive than walnuts.
   • Walnuts are $$88\%$$ more expensive than almonds.

2. A phone provider offers two calling plans. Plan X charges 0.12 dollar per minute. Plan Y charges a flat 15 dollars for the first 120 minutes, and 0.09 dollar per additional minute. After how many minutes does Plan Y become the better deal?

   • 120
   • 420
   • 140
   • 150

3. If it takes Lily 40 seconds to walk up a stopped escalator and 24 seconds to reach the top while just standing on a moving escalator, how long would it take her if she walked while the escalator moved?

   • 15
   • 8
   • 12
   • 24

4. A team of 5 workers completes 60% of a job in 12 days. How many additional workers are needed to complete the remaining 40% in 4 more days?

   • 3
   • 4
   • 5
   • 6

5. Eight workers can complete a task in 6 days. If 4 more equally efficient workers are added, how many days will it take to complete the task?

   • 4
   • 5
   • 6
   • 7

6. It takes 6 people 10 days to complete a job if they work 10 hours per day. If only 5 people are available and they work 8 hours a day, how long will the job take?

   • 8
   • 15
   • 16
   • 30

7. A 25 lb trail mix is 30% almonds and 70% walnuts. To adjust the mix to be 40% almonds, how many pounds should be removed and replaced with pure almonds?

   • $$\frac{5}{2}$$
   • $$\frac{3}{7}$$
   • $$\frac{7}{3}$$
   • $$\frac{25}{7}$$

8. Alice jogs to school at 5 miles per hour and returns at 7 miles per hour. What is her average speed for the entire trip?

   • $$\frac{12}{7}$$
   • $$6$$
   • $$\frac{35}{12}$$
   • $$\frac{35}{6}$$

9. Liam drives 400 miles on day one. On day two, he drives 50% more distance, but at only $$\frac{2}{3}$$ the average speed of the first day. How long does he drive on the second day?

   • $$\frac{900}{r}$$
   • $$450r$$
   • $$\frac{3}{2r}$$
   • $$\frac{450}{r}$$

10. In a local election, 60% of voters currently support candidate X, and 25% support candidate Y. If 15% are undecided and eventually half of them vote for X, what is X's final projected support?

    • $$60\%$$
    • $$75\%$$
    • $$67.5\%$$
    • $$65\%$$