Answer:
Step-by-step explanation:
3s + 4p = 96 -------> 3s = 96 - 4p
We are also told
6s + 5p = 147
Note: 6s = 2 x 3s
So this means we can re-write the above equation as :
6s + 5p = 147
2(3s) + 5p = 147
2 ( 96 - 4p) + 5p = 147
192 - 8p + 5p = 147
192 - 3p = 147
Add 3p to both sides
192 = 147 + 3p
Subtract 147 from both sides
192 - 147 = 3p
45 = 3p
Divide both sides by 3 to find "p".
p = 45/3 = 15 (Pants cost $15)
Now since we know "p" we can substitute this value into the equation at the beginning
3s = 96 - 4p
3s = 96 - 4(15)
3s = 96 - 60
3s = 36
Divide both sides by 3 to find "s".
s = 36/3 = 12 (Shirts cost $12)
