Collection of stamps

Jano, Rado, and Fero have created a collection of stamps in a ratio of 5: 6: 9. Two of them had 429 stamps together. How many stamps did their shared collection have?

Correct answer:

n =  780

Step-by-step explanation:

$$\begin{gathered} n_1=429\mathrm{/}(5+6)=39 \\ {n}_2=429\mathrm{/}(5+9)={\displaystyle \frac{429}{14}}=30\frac{9}{14}\doteq 30.6429 \\ {n}_3=429\mathrm{/}(6+9)={\displaystyle \frac{143}{5}}=28\frac{3}{5}=28.6 \\ {n}_1\in N \\ j=5\cdot n_1=5\cdot 39=195 \\ r=6\cdot n_1=6\cdot 39=234 \\ f=9\cdot n_1=9\cdot 39=351 \\ n=j+r+f=195+234+351=780 \end{gathered}$$

Try another example

Related math problems and questions:

• One hundred stamps
  A hundred letter stamps cost a hundred crowns. Its costs are four levels - twenty tenths , one crown, two-crown and five-crown. How many are each type of stamps? How many does the problem have solutions?
• Together
  The three friends divided the balls in a ratio of 6: 5: 4. Some two of them got a total of 126 balls. How many balls were there together?
• Pagans
  Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?
• 120 nuts
  Divide 120 nuts in a ratio of 4: 6.
• Postal stamps
  Jano and Peter exchanged postal stamps. Jano gave Peter 32 stamps of the missile for 8 stamps with turtles. How good was Jano after this exchange (how many he has surplus in exchanged stamps)?
• Trio ratio
  Hans, Alena and Thomas have a total of 740 USD. Hans and Alena split in the ratio 5: 6 and Alena and Thomas in the ratio 4: 5. How much will everyone get?
• Oranges
  Mother divided her three children's oranges in a ratio of 6:5:4. Two children gave 45 oranges. How many oranges were there?
• Sheep
  Shepherd tending the sheep. Tourists asked him how much they have. The shepherd said, "there are fewer than 500. If I them lined up in 4-row 3 remain. If in 5-row 4 remain. If in 6-row 5 remain. But I can form 7-row." How many sheep have herdsman?
• Chickens and rabbits
  In the yard were chickens and rabbits. Together they had 18 heads and 56 legs. How many chickens and how many rabbits were in the yard?
• Ratio
  6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers?
• How many
  How many integers are greater than 547/3 and less than 931/4?
• Moneys in triple ratio
  Milan, John and Lili have a total 344 euros. Their amounts are in the ratio 1:2:5. Determine how much each of them has?
• Toy cars
  Pavel has a collection of toy cars. He wanted to regroup them. But in the division in groups of three, four, six, and eight, he was always one left. Only when he formed groups of seven, he divided everyone. How many toy cars have in the collection?
• Three friends
  Peter is eight times older than Rado, Rado is 3 times younger than Joseph. Together they have 120 years. Determine how many are each of them.
• Remainders
  It is given a set of numbers { 170; 244; 299; 333; 351; 391; 423; 644 }. Divide this numbers by number 66 and determine set of remainders. As result write sum of this remainders.
• Intelligence test
  Paľo, Jano, Karol, and Rišo were doing an intelligence test. Palo correctly answered half of the questions plus 7 questions, Jano to a third plus 18 questions, Karol to a quarter plus 21 questions and Risho to a fifth plus 25 questions. After the test, Ka
• Dividing money
  Milan divided 360 euros in the ratio 4: 5, Erik in the ratio 500: 625. How many euros did the individual parts of Milan and how many Erik?