Linear Systems: 3 Variables

Question

The top three sources of oil imports for the United States in the same year were Saudi Arabia, Mexico, and Canada. The three top countries accounted for 45% of oil imports. The United States imported 1.9 percentage points more from Saudi Arabia than they did from Mexico, and 1.8 percentage points more from Saudi Arabia than they did from Canada. What percent of the United States oil imports were from these three countries? (Round your answers to one decimal place.)

Answer 1

S+M+C = 45

S = M + 1.9 ---> S - 1.9 = M

S = C + 1.8 ---> S - 1.8 = C

S + (S-1.9) + (S-1.8) = 45

3S - 3.7 = 45

3S = 48.7

S = 16.23.....

M = 14.333.....

C = 14.4333.....