Sarah bought two sodas and three candy bars for a total of $5.37. Jake bought one soda and five candy bars for a total of $5.45. What were the individual costs of each type of item?

Answer 1

2S + 3 C = 537

S + 5C = 545

multiply 2nd equation by 2 and subtract the 1st equation

2S + 10C = 1090

2S +3C =537

7C = 553

C = 553/7 = 79 cents for a candy bar

2S = 537- 3(79) = 537 - 237 = 300

S = 300/2 = $1.50 for a soda