Chase bought 5 pieces of fudge and 3 pieces of bubble gum for $5.70:
5f + 3g = 5.70
Sara bought 2 pieces of fudge and 10 pieces of bubble gum for $3.60:
2f + 10g = 3.60
System of equations:
5f + 3g = 5.70
2f + 10g = 3.60
From the first equation:
5f + 3g = 5.70
5f = 5.70 - 3g
f = 5.7/5 - 3/5g
f = 1.14 - 0.6g
Replacing "f" in the second equation:
2f + 10g = 3.60
2 (1.14 - 0.6g) + 10g = 3.6
2.28 - 1.2g + 10g = 3.6
8.8g = 3.6 - 2.28
8.8g = 1.32
g = 0.15
Replacing "g" in the first equation:
5f + 3g = 5.70
5f + 3(0.15) = 5.7
5f + 0.45 = 5.7
5f = 5.7 - 0.45
5f = 5.25
f = 5.25 / 5
f = 1.05
Fudge cost $1.05 and Bubble Gum cost $0.15
