Solve for the unknown term in the following proportions:

a) 15 : 6 = 45 : x

b) 3.8 : x = 10.8 : 8.1

2) A student drives 280km in 4 hours. While she drives, she listened to 100 songs. What is the ratio that exists between the three numbers? Reduce to lowest terms.

3) Allocate $35000 in the ratio 1 : 12 : 7 : 20

4)If three insurance companies were to cover the full cost of $4000 in damages in a ratio of 5/9 : 2/4 : 1/8, then how much would each company have to pay?

5) 70 Euros can be converted into 110 Canadian dollars.

What is the CAD to EUR conversion rate? How many Euros could you get for 15 Canadian Dollars?

6) The average price of computers was $600 in 2015 and $630 in 2018. Compare the two prices to make an index number for 2018.

7) Penny earned $26000 in 2007 and $26500 in 2009. If the Consumer Price Index in 2007 was 111.5 and in 2009 was 114.4, determine whether her real income has increased or decreased in that two-year time period

8) gaming computer is listed for $1100 less a trade discount series of 13%, 4%, and 3%.

a) What is the net price?

b) What is the equivalent single rate of discount?

9)An invoice for $3200, dated February 13^th, has payment terms of 3/10, n/30.

a) What is the final day of the cash discount?

b) What is the amount due if the invoice is paid in full on February 18th?

c) Alternatively, how much would have to be paid to reduce the balance from $3200 to $500 on February 20th?