Ratio + rational numbers - math problems

Number of problems found: 40

Write 4
Write each ratio as a fraction of whole numbers: a 4.8 to 11.2 6) 2.7 to 0.54
Boys and girls
If the ratio of male & female teachers is 2/5 & it is in proportion of the male & female students, how many are girls if there are 42 boys?
A loan
A loan in the amount of $944 is charged simple interest at an annual rate of 8.1%. How much money is owed 14 months after the loan was made?
Sum and ratio
The sum and ratio of two numbers is equal to 10. Which numbers are they?
Marble bag
A marble bag sold by Rachel's Marble Company contains 5 orange marbles for every 6 green marbles. If a bag has 35 orange marbles, how many green marbles does it contain?
Ratio - proportion
Reduce the number 16 in proportion 3:2 5:4 11:8
Three co-owners
The three co-owners of building company have earnings from a contract portioned in the ratio of 3:6:7. Each of them received the amount in whole USD. One of them on contract earned 86450 USD. What was the total earnings this order?
Bureaucracy
23 people attended the office. 9 of them completed the questionnaire. What is the percentage of all people?
Efficiency
A certain device consumes 28 kW and delivers 14 kW. Find its efficiency.
VAT
John paid 1000 Euros in store for purchase. Calculate value added tax (VAT), which paid in purchase, if the VAT rate is 20%.
School trip
School trip cost 247.2 Eur for one class (24 students). How much would a trip cost for two classes? (both classes together have 53 students)
Store
One meter of the textile was discounted by 2 USD. Now 9 m of textile cost as before 8 m. Calculate the old and new price of 1 m of the textile.
Excavation
Mr. Billy calculated that excavation for a water connection digs for 12 days. His friend would take 10 days. Billy worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of the excavation they met?
Bonus
The gross wage was 1323 USD including 25% bonus. How many USD were bonuses?
Tare
Gross weight of shipment is 6927 kg and its tare is 7%. Calculate the net weight of the shipment.
Scale
The swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with an area 8.25 cm². What scale is the city plan?
Coffee
In-stock are three kinds of branded coffee prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 create a mixture. What will be the price of 100 grams of this mixture?
Tape
Video is 153% more expensive than tape recorder. How many percent is tape recorder less expensive than video?
Troops
The route is long 147 km and the first-day first regiment went at an average speed of 12 km/h and journey back 21 km/h. The second day went second regiment the same route at an average speed of 22 km/h there and back. Which regiment will take route longer
Car factory
The carmaker now produces 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days needed to manufacture 70312 cars last year?