Exam 3: Ratios and Proportions

Mr. Nolan's will specifies that the proceeds from his estate be divided among his wife, son, and stepson in the ratio of $\frac{7}{5}: 1: \frac{5}{7}$ , respectively. How much will each receive from the distribution of his $331,000 estate?

A steel company in Hamilton can purchase Alberta coal at C$105 per metric tonne (1,000 kg) or West Virginia coal at US$95 per ton (2,000 lb) (1 kg = 2.205 lb). How much cheaper in C$ per metric tonne is the less expensive source if US$0.975 = C$1.00?

The Alberta government's budget is estimated to be $1.84 billion for healthcare, $2.3 billion for education and $.46 billion on social services. Expressed as a proportion the ratio is 0.4:0.5:0.1.

How much will it cost in C$ to buy €2,000 in traveller's cheques if the exchange rate is C$1.00 = €0.7448, and the financial institution charges a fee of ½%?

If the "basket" of goods and services included in the consumer price index (CPI) cost $21,350 in the base year (when the CPI = 100) and currently costs $28,550, what is the current CPI?

The new University Hospital is scheduled to have 436 beds. The ratio of nurses to beds to nurses' aides for staffing the hospital is 4: 9: 2. How many nurses and aides will need to be hired?

If the number of C$ per ¥1.00 decreases by 0.00054 from the value C$0.010250 = ¥1.00, which currency has appreciated?

If the number of ¥ per C$1.00 declines from 97.561 to 95.445, what will be the change in the C$ price to an importer of a ¥195,000 item?

A business consultant is analyzing the cost structure of two firms in the same retail business. On sales of $3.66 million, Thrifty's had wholesale costs of $2.15 million and overhead expenses of $1.13 million. If Economart had the same proportionate costs on its sales of $5.03 million, what would its wholesale costs and overhead expenses have been?

Mike invests $10,000 in the Dow Jones Industrial Index on January 1, 2006 when the index was at 11,357. At the end of 2016, the index was at 11,578. The value of Mike's investment after the ten years was $10265.60

Solve the proportion: 2.6 : 5.5 : 10 = 13 : x : y

Nitin and Sam have invested in a partnership in the ratio of 3:5. If Sam adds another $10,000 to the business, how much should Nitin invest in order to maintain the same ratio?

The current exchange rates show that C$1.00 = £0.6370. If you have C$250, what is the equivalent amount in British pounds?

Express the following ratio in its lowest terms: 45:15:30

Express the following ratio in its lowest terms: $2 \frac{1}{2}: \frac{5}{8}$

Mike, Don, and Matt entered a partnership agreement by contributing $17,000, $42,500 and $54,400 respectively. The proportion of Mike to Don to Matt's partnership interests is 1:2.5:3.2.

Express the following ratio in its lowest terms: 0.84: 1.4: 1.96

City A had 10% more housing starts this year than last year and City B had 7% less housing starts this year than last year. Would it be correct to say that City B has 17% less housing starts than City A? Explain.

If the C$ weakens by 2½% relative to the euro (C$1.00 = €0.7448), what will be the new value for the euro per C$1.00?

Express the following as an equivalent ratio whose smallest term is 1: 0.47: 0.15: 0.26