# 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?

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