In the stamp collection below, the denominations have not been entered. Use the clues below to set up equations and determine the proper denominations.



Clue 1 The rectangle stamps total 24 cents. R1 + R2 + R3 = 24
Clue 2 The rectangle stamps with animals total 16 cents. R1 + R2 = 16. Combining this with Clue 1, we know R3 = 8
Clue 3 The stamps with animals total 20 cents. R1+
+ S2 = 20. Combining this with Clue 2, we know S2 = 4
Clue 4 The stamps with two animals total 13 cents. S2 + R2 =
. Combining this with what we learned from Clue 3, we know R2 =
Clue 5 The two stamps with a person total 22 cents.
+ T2 = 22. Combing this with what we learned from Clue 2, we know T2 =
Clue 6 The triangle stamps total 24 cents. T1 +
= 24. Combining this with what we learned from Clue 5, we know
= 10
Clue 7 The stamps with mechanical devices total 20 cents. T1 + R3 + S1 =
. Combining this with what we learned from Clue 2 and Clue 6, we know S1 =
Clue 8 The square stamps total 11 cents. S1 + S2 +
= 11
Combining this with what we learned from Clue 3 and Clue 7, we know
= 5