# Ranjana's mother gave her rupees 245 for buying new year cards .if she got some 10-rupee card ,2/3 as many 5 rupees cards, and 1/5 as many 15-rupee cards, how many of each kind did she buy?

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by qwartile

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by qwartile

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Let number of 10 rupees cards = x

cost of 10 rupees card = 10x

number of 5 rupees cards = 2x/3

cost of 5 rupees card = 5(2x/3) = 10x/3

number of 15 rupees cards = x/5

cost of 10 rupees card = 15(x/5) = 3x

total cost = 10x + 10x/3 + 3x = (30x+10x+9x)/3 = 49x/3

thus 49x/3 = 245

⇒x = (245×3)/49

⇒x =**15 (no. of 10 rupees card)**

2x/3 = (2×15)/3 =**10 (no. of 5 rupees card)**

x/5 = 15/5 =**3 (no of 15 rupees card)**

cost of 10 rupees card = 10x

number of 5 rupees cards = 2x/3

cost of 5 rupees card = 5(2x/3) = 10x/3

number of 15 rupees cards = x/5

cost of 10 rupees card = 15(x/5) = 3x

total cost = 10x + 10x/3 + 3x = (30x+10x+9x)/3 = 49x/3

thus 49x/3 = 245

⇒x = (245×3)/49

⇒x =

2x/3 = (2×15)/3 =

x/5 = 15/5 =