Question

There are 24 coins in Zara's
The ratio of 50 cent to 25 cent to 10 cent coins is 2:3:7.
Show that she has $4.90 in her purse in total.

Answer 1

Answer:

as there are 24 coins

from given the ratio is 2:3:7

let x be a common factor of this ratio

hence

no.of 50 cent coins = 2x

no.of 25 cent coins = 3x

no.of 10 cent coins = 7x

now 2x + 3x + 7x = 24

12x = 24

x = 2

hence

valuation,

of 50 cent coins = 50 × (2×2) = 50 × 4 = 200 cents

of 25 cent coins = 25 × (3×2) = 25 × 6 = 150 cents

of 10 cent coins = 10 × (7×2) = 10 × 14 = 140 cents

total value

(200+150+140) cents

= 490 cents

now $1 = 100 cents

490/100 = $4.90

hence proved.

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