Find the number. .
C. Find two consecutive even integers such that twice the larger is forty less than three times the smaller. .
D. Find two consecutive odd integers such that the difference of their squares is 160.
E. Find three consecutive integers so that twice the first added to five times the second exceeds three times the third by 51. .
2. Investment and Business Problems .
A. A man left one-fourth of his estate to his wife, one-fifth to each of his two sons, one-eighth to his daughter and the remainder, an amount of Php 32000 to charity. Find the amount of the estate. .
B. A vendor paid Php 175 for a basket of mangoes. He brought home 10% of the mangoes and sold the remainder at Php2.50 each for a profit of Php50. How many mangoes did he purchase? .
C. A worker is paid Php180 for each day of work but is fined Php15 if he does not report to work. How many days did he work if his net pay in 16 days is Php 2100? .
D. How should Php115600 be invested so that the income from one investment at 10% will be twice the income from another investment at 12%?.
E. A certain factory employs 600 skilled and 450 unskilled workers. If a skilled worker is paid Php350 per day and the total daily labor cost amounts to Php 322500, and the daily wage of an unskilled worker. .
3. Measurement Problems .
A. The perimeter of a rectangle is 172 centimeters. If length is 38 centimeters greater than its width, what is the length of the rectangle? .
B. The length of a rectangle is one more than the width. If the dimensions are both decreased by 2 units, the area of the new rectangle is 30 square units less than the area of the original rectangle. Find the area of the original rectangle. .
C. The width and length of a rectangle are respectively 2 less and 3 more than the length of the side of a square. If the area of the rectangle is 4 more than the area of the square, and the dimensions of the rectangle and the area of the square.
4. Mixture Problems .