Review Exercise 9

Of the h people at a networking event, k are men and the rest are women. Find the ratio of the number of women to the number of men at the event.

Simplify the ratio.

Find the ratio of 2/5 hours (h) to 250 seconds (s).

A box of candy was divided into three bottles, P, Q, and R in the ratio 9:4:11. If, instead, the candy had been divided equally between them, there would be 21 fewer pieces of candy in bottle R. How many pieces of candy were there in the box?

The cash price of a bladeless fan is $949. The hire-purchase price of the fan is $1150.90. The hire-purchase price is a deposit of 10% of the cash price plus 12 equal monthly payments. Calculate one monthly payment.

One day, the exchange rate between euro (€) and Singapore dollar (S$) was €1 = S$1.5997. On the same day, the exchange rate between the New Zealand dollar (NZ$) and euro was NZ$1 = 0.5801.

Li Ting changed €460 into Singapore dollars. Calculate how many Singapore dollars she received, correct to the nearest dollar.

One day, the exchange rate between euro (€) and Singapore dollar (S$) was €1 = S$1.5997. On the same day, the exchange rate between the New Zealand dollar (NZ$) and euro was NZ$1 = 0.5801.

Raju changed S$800 into euros before converting the full amount into New Zealand dollars. Calculate how many New Zealand dollars he received, correct to the nearest dollars.

The cheetah is the fastest land animal, capable of attaining a speed of 110 km/h. In August 2009, the world record for the men's 100m sprint was set at 9.58 seconds. How many times is a cheetah as fast as the fastest human sprinter? Write your answer in 3 s.f.

The diameter of a wheel of a bicycle is 48 cm. If the bicycle travels at an average speed of 3.5 km/h, find the number of revolutions made by the wheel per minute, giving your answer correct and rounded up to the nearest whole number.

The total cost of placing an advertisement in a newspaper comprises of a fixed cost $3.50 and a variable cost that depends on the number of words. Each word costs 25 cents.

i.) Find the total cost of placing an advertisement containing 22 words.

ii.) If Devi does not want to spend more than $15 on an advertisement, what is the greatest number of words she can use?

Separate your answers using semi-colon (;).