Interactive Heuristic Problem Solving Guide 1 (part 2 of 2)

Practice Time!

1. A florist had to send vases to her customer. Customer will be charged $14 for every vase delivered without broken, she will not charge the customer and will compensate customer $5 for every broken vase. That day, she delivered a total of 2880 vases, and collected $33480. What was the total amount of vases that she delivered without broken? (2520)
2. Henry and Ramu played a dart game. When Henry won, Ramu gave him $4. When Ramu won, Henry gave him $3. In a day, they played 20 games. How many games did Henry win if he won $66. (18)
3. The company delivers some flower vase. For every vase delivered on time, the company charge $20. For every vase delivered late, the company compensate $5. If the total company collected was $5000 after delivering 320 vases, how many of them were delivered late? How many were delivered on time? (56, 264)
4. The company delivers some flower vase. For every vase delivered on time, the company charge $20. For every vase delivered late, the company will not charge a single cent (vases are free of charge). If the total company collected was $5000 after delivering 320 vases, how many were delivered late? How many of them were delivered on time?
5. The company delivers some flower vase. For every vase delivered on time, the company charge $20. For every vase delivered late, the company charge $18. If the total company collected was $9100 after delivering 505 vases, how many were delivered late? How many of them were delivered on time?
6. The company delivers some flower vase. For every vase delivered on time, the company charge $20. For every vase delivered late, the company give customer 25% discount. If the total company collected was $3100 after delivering 205 vases, how many were delivered late? How many of them were delivered on time?
7. The company delivers some flower vase. For every vase delivered on time, the company charge $20. For every vase delivered late, the company will discount $3 for every vase. If the total company collected was $3500 after delivering 205 vases, how many were delivered late? How many of them were delivered on time?  

Challenging Advanced Learners:

X Delivery Company charges $6 for parcels delivered on time and free of charge for parcels delivered late. In the month of May, X Delivery Company collected $2592. For every 20 parcels delivered, 2 were delivered late. 

(a) What was the total number of parcels that were delivered on time? (432)

(b) How much less money did X Delivery Company collect in May due to the late delivery of the parcels?  ($288)

Miss Liew: How is this question different from those mentioned above? 

Words to the readers:

Are you able to solve these questions? 

What pattern/rule do you observe? 

Are you able to generalise the rule to other questions?