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Alecsey [184]
3 years ago
12

There are between 50 & 60 eggs in a basket. When roza counts by 3's there are 2 leftover and when she counts by 5's there ar

e 4 leftover. How many eggs are in the basket?
(is there a way to solve this without having to go through all the options)​
Mathematics
1 answer:
avanturin [10]3 years ago
6 0

There are 59 eggs in the basket

Step-by-step explanation:

There are between 50 & 60 eggs in a basket

  • When Roza counts by 3's there are 2 leftover
  • When she counts by 5's there are 4 leftover

We need to find how many eggs in the basket

∵ When Roza counts by 3's there are 2 leftover

∵ When she counts by 5's there are 4 leftover

- That means the number of eggs when divided by 3 give

  remainder 2 and when divided by 5 give remainder 4

- To find the number look for the numbers that divisible by 5 and

  add 4 to them and then check the remainder when they divided

  by 3

∵ Between 50 and 60 there is only one number divisible by 5

  is 55 (not including 50 or 60)

∵ 55 + 4 = 59

∴ 59 gives remainder 4 when divided by 5

Let us check them with 3

∵ 59 - 2 = 57

∵ 57 is divisible by 3 ⇒ (57 ÷ 3 = 19)

∴ 59 when divide by 3 gives remainder 2

∴ 59 gives remainder 4 when divided by 5 and remainder 2 when

  divided by 3

∴ The number of eggs in the basket is 59

There are 59 eggs in the basket

Learn more:

You can learn more about the word problems in brainly.com/question/10557938

#LearnwithBrainly

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