<span>We will use s for the cost of a small candle and m for the cost of a medium candle.
(a) The candles and price for Jin can be written as: 3s+1m=$3.85 The candles and price for Trish can be written as: 4s+5m=$10.45
The system of equations that we have is: </span>3s+1m=$3.85 4s+5m=$10.45
(b) We will use substitution to solve this problem. From the first equation we can find out m: 3s+1m=$3.85 1m=$3.85-3s
Now we insert this into second equation and we solve it for s: 4s+5($3.85-3s)=$10.45 4s+$19.25-15s=$10.45 -11s=-8.8 s=$0.8 Now we can find m: m=$3.85-3*$0.8 m=$3.85-$2.4 m=$1.45
(c) The candles and price for Jin can be written as: 2s+1m=price We can insert values for s and m: 2*$0.8+$1.45=price price=$1.6+$1.45 price=$3.05