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Farah enters a shop to buy ice-creams, cookies and pastries. She has to buy at least 10 units of each. She buys more cookies than ice-creams and more pastries than cookies. She picks up a total of 35 items. How many cookies does she buy?

Farah enters a shop to buy ice-creams, cookies and pastries. She has to buy at least 10 units of each. She buys more cookies than ice-creams and more pastries than cookies. She picks up a total of 35 items. How many cookies does she buy? Correct Answer Either 11 or 12

According to problem,

Number of pastries > cookies > ice creams

She has to buy at least 10 units of each.

Total item = 35

Let, she bought 11 ice creams.

∴ Minimum number of cookies bought = 11 + 1 = 12

∴ Minimum number of pastries bought = 12 + 1 = 13

∴ Total items = 11 + 12 + 13 = 36

36 > 35, so it is not possible

∴ She can buy maximum 10 ice creams.

∴ Minimum number of cookies bought = 10 + 1 = 11

∴ Pastries bought = 35 - (10 + 11) = 14

∴ Ice cream = 10, cookies = 11 and pastries = 14

Let, number of cookies bought = 12

∴ Pastries bought = 35 - (10 + 12) = 13

∴ Ice cream = 10, cookies = 12 and pastries = 13

∴ Cookies bought by her = 11 or 12

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