2. Kevin is two years older than his wife Angela. In 15 years, the sum of their ages will be
one more than thrice Kevin’s age now. What are their present ages?
A bank teller has some P50 bills and some P200 bills. The teller has five more P200 bills
than P50 bills. The total value of the money is P7250. Find the number of P50 bills.
A gardener has 26 kg of a mixture of a fertilizer and weed killer. If one kilo of the mixture is
replaced by weed killer the result is a mixture that is 5% weed killer.
What percent of the original mixture was weed killer?
A ladder is to be constructed with 16 rungs whose lengths decrease uniformly from 20
inches at the base to 16 inches at the top. Find the total length of material needed for
the rungs.
The angle of elevation from the ground to the top of a cliff is 320 at point A. Point B is
exactly 100 feet nearer the cliff, and the angle of elevation from that point is 420. Find
the height of the cliff.
6. Give 100 loaves to five men so
that the shares are in arithmetic
progression and the sum of the
two smallest is 1/7 of the three
greatest.
- a problem found in the Rhind
Papyrus, Egyptian textbook of
mathematics c. 1650 BC
7. Simplify:
1 1 1 1
2
2 2
− 2
x y x y
−
1 1 1 1
2
− 2 2
2
x y x y
8
2 2
x y x− y x y
−2
x− y x y y
2
x
2