Yoko paid $10.70 for stamps. She bought three times as many 25 cent stamps as 14 cent stamps, twice as many 2 cent stamps
as 25 cent stamps and the same number of one-cent stamps as
2 cent stamps. How many stamps of each type did Yoko buy?

30 of 25 cent, 10 of 14 cent, 60 of 2 cent

Step-by-step explanation:

Note: it must be typo 10.70, changed to 10.10

Number of 25 cent stamps = x

Number of 14 cent stamps = y

Number of 2 sent stamps = z

Total = $10.10 = 1010 ¢x = 3yz = 2x ⇒ z = 6y

Solving equation

25x + 14y + 2z = 101025(3y) + 14y + 12y = 101075y + 26y = 1010101y = 1010y = 1010/101y = 10

The finding x and z

x = 3*10 = 30z = 6*10 = 60