Respuesta :
Cost of 1 candy bar is $ 0.48
Solution:
Let the cost of 1 candy bar be "c"
Let the cost of 1 fruit roll be "f"
Given that, Nadia buys three candy bars and four fruit roll ups for $2.84
Therefore, we can frame a equation as,
three candy bars x cost of 1 candy bar + four fruit roll x cost of 1 fruit roll = 2.84
[tex]3 \times c + 4 \times f = 2.84[/tex]
3c + 4f = 2.84 ---------- eqn 1
Peter also buys three candy bars but can only afford one fruit roll up. his purchase cost is $1.79
Therefore, we can frame a equation as,
three candy bars x cost of 1 candy bar + one fruit roll x cost of 1 fruit roll = 1.79
[tex]3 \times c + 1 \times f = 1.79[/tex]
3c + 1f = 1.79 -------- eqn 2
Let us solve eqn 1 and eqn 2
Subtract eqn 2 from eqn 1
3c + 4f - 3c - 1f = 2.84 - 1.79
3f = 1.05
f = 0.35
Substitute f = 0.35 in eqn 1
3c + 4(0.35) = 2.84
3c + 1.4 = 2.84
3c = 2.84 - 1.4
3c = 1.44
c = 0.48
Thus cost of 1 candy bar is $ 0.48
