1. Jin bought 3 small candles and 1 medium candle for $3.85. Trish bought 4 small candles and 5 medium candles for $10.45. (a) W

Question

1. Jin bought 3 small candles and 1 medium candle for $3.85. Trish bought 4 small candles and 5 medium candles for $10.45.

(a) Write a system of equations that you could use to find the cost of each size of candle. Use s for the cost of a small candle and m for the cost of a medium candle.

(b) Solve the system using either linear combination or substitution.

(c) Mark bought 2 small candles and 1 medium candle. How much did he pay in all?
Answer:

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Answers ( No )

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    2021-09-10T16:13:20+00:00

    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:
    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

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