Flynn, Japheth, Ivan and Oliver paid a total of $280 for a souvenir. Oliver paid ¹₄ of what the rest paid. Flynn paid 40% of what the rest paid. Japheth and Ivan paid an equal amount of money. How much did Ivan pay?

Flynn	Japheth	Ivan	Oliver	Total
4x7			1x7	5x7
2x5	5x5			7x5
	1	1
10 u	9 u	9 u	7 u	35 u

40%= ⁴⁰₁₀₀= ²₅
Flynn's share : Total share = 2 : 5

The total amount paid for the souvenir is repeated.  Make the total amount the same.  LCM of 5 and 7 is 35.

Amount that Japheth, Ivan and Oliver paid = 25 u

Amount that Japheth and Ivan paid
= 25 u - 7 u
= 18 u

The amount that Japheth and Ivan each paid is the same.

Amount that Japheth and Ivan each paid
= 18 u ÷ 2
= 9 u

Cost of the souvenir = 35 u

35 u = 280

1 u = 280 ÷ 35 = 8

Amount that Ivan paid
= 9 u
= 9 x 8
= $72

Answer(s): $72