1. A group of children are playing a card game in which the entire deck is dealt out among the players. If one more child were playing, each child would receive 3 fewer cards and there would be two cards left over. How many children are playing?
2. For the period from 1985 to 1999, the number of firearms suicides in a certain country can be approximated by the quadratic model y= -15x squared + 47x + 2755 where x=0 represents 1986, and so on. Based on this model, in what year was the number of suicides about 2700?
3. A group of students planning in picnic trip decided to divide the cost (Php 2450) equally among themselves. Later two other students joined the group, thereby reducing the cost for all by Php 140 per person. How many students made the trip?
4. A rectangular theater seats 1620 people. If each row had six more seats in it, the number of rows would be reduced by nine. How many seats would then be in each row?
5. If the price of eggs with Php 10 per dozen, one will be able to get 2 dozens fewer eggs with Php 600 than was possible at the lower price. What was the lower price?
6. A pet shop bought a litter of puppies for Php 8000. All but 3 of them were sold, at a profit of Php 600 each, for a total of Php 8000. How many puppies were in the litter?
7. If Php 200000 invested at interest compounded annually amounts to Php 212180 in two years, what is the rate of interest?
8. A limousine shuttle service operating between an airport and the center of a city charges a fare of Php 120 and carry 400 persons per day. The firm estimates that the business will decrease by 10 passengers per day for each increase of Php 10 in the fare. Find the most profitable fare to charge for the service.
9. A telephone company can get 1000 subscribers at a monthly rate of Php 500 each. It will get 100 more subscribers for Php 10 decrease in the rate. What rate will yield the maximum gross monthly income and what will this income be?
10. Running shoes in lots of 50 or fewer pairs can be bought for Php 1800 per pair. The price decreases by Php 150 per pair for excess over 50 pairs bought at one time up to 400 pairs. How many pairs can be bought for Php 446400?
2. For the period from 1985 to 1999, the number of firearms suicides in a certain country can be approximated by the quadratic model y= -15x squared + 47x + 2755 where x=0 represents 1986, and so on. Based on this model, in what year was the number of suicides about 2700?
3. A group of students planning in picnic trip decided to divide the cost (Php 2450) equally among themselves. Later two other students joined the group, thereby reducing the cost for all by Php 140 per person. How many students made the trip?
4. A rectangular theater seats 1620 people. If each row had six more seats in it, the number of rows would be reduced by nine. How many seats would then be in each row?
5. If the price of eggs with Php 10 per dozen, one will be able to get 2 dozens fewer eggs with Php 600 than was possible at the lower price. What was the lower price?
6. A pet shop bought a litter of puppies for Php 8000. All but 3 of them were sold, at a profit of Php 600 each, for a total of Php 8000. How many puppies were in the litter?
7. If Php 200000 invested at interest compounded annually amounts to Php 212180 in two years, what is the rate of interest?
8. A limousine shuttle service operating between an airport and the center of a city charges a fare of Php 120 and carry 400 persons per day. The firm estimates that the business will decrease by 10 passengers per day for each increase of Php 10 in the fare. Find the most profitable fare to charge for the service.
9. A telephone company can get 1000 subscribers at a monthly rate of Php 500 each. It will get 100 more subscribers for Php 10 decrease in the rate. What rate will yield the maximum gross monthly income and what will this income be?
10. Running shoes in lots of 50 or fewer pairs can be bought for Php 1800 per pair. The price decreases by Php 150 per pair for excess over 50 pairs bought at one time up to 400 pairs. How many pairs can be bought for Php 446400?