Rates A rate is found by dividing one quantity by another. Rates of Quantities of Different Kinds Relate rates of quamities of different kinds For example a rate of pay consists of the money paid divided by the time worked. If a man

From the above example, we find out that Rate (R) = Amount of money (M) Time (T) R=M

From R=M

T

R

Example 1

• A man is paid 6,000 for § hours work

a What is his rate of pay? b. At this rate, how much would he receive for 20 hours work? © Atthis rate, how long must he work to receive 30,000 shillings?

Solution

B @R=M T

R=750'- Perhoor

: His rate of pay is 750/- per hour

(b) From R=M, M=RxT

T

M=?

hour

«. For 20 hours of work the many would receive 15,000/-

From R=M

T T=M R

«To seceive 30,000/-, he must work for 40 hours. Quantities of the Same Kind Relate quantities of the same kind

Example 2

A student is growing plants she measures the rate at which two of them are growing. Plant A arew Sem in 10 days, and plant B grew 8em in 12 days. Which plant is growing more quickly?

R

R

Converting Tanzanian Currency into other Currencies Conversion of money is dane by multiplying or dividing by the rate of exchange Eg. Ifat a certain time there are 1,100 shillings to each UK pound (£), to go from Eto shillings,

Example 3

b. A business woman changes 2,080,000 Tsh to euros. How much does she get’?

T=M R

From R=M. R i