Answer:
a. t = 98
b. b = 32
Explanation:
4/7t - 20 = 36r; r = 1
4/7t - 20 = 36(1)
4/7t = 36 + 20
4/7t = 56
7/4 x 4/7t = 56 x 7/4
t = 98
2/5k = 1/2b - 12; k = 10
2/5(10) = 1/2b - 12
4 = 1/2b - 12
4 + 12 = 1/2b
16 = 1/2b
16 x 2/1 = 1/2b x 2/1
b = 32
Check:
a.) 4/7t - 20 = 36r; r = 1; t = 98
4/7(98) - 20 = 36(1)
(56) - 20 = 36
36 = 36 ✅
b.) 2/5k = 1/2b - 12; k = 10; b = 32
2/5(10) = 1/2(32) - 12
2/5(10) = (16) - 12
4 = 16 - 12
4 = 4 ✅