Question

at a sale on candles, lexi bought two large candles and five small candles and paid $30. carl bought one large candle and three small candles and paid $16.75. find the cost of each. (select 2)

Explanation:

Step1: Define variables

Let $L$ = cost of large candle, $S$ = cost of small candle.

Step2: Set up equations

Lexi's purchase: $2L + 5S = 30$
Carl's purchase: $L + 3S = 16.75$

Step3: Isolate $L$ from 2nd eq

$L = 16.75 - 3S$

Step4: Substitute into 1st eq

$2(16.75 - 3S) + 5S = 30$

Step5: Solve for $S$

$33.5 - 6S + 5S = 30$
$33.5 - S = 30$
$S = 33.5 - 30 = 3.5$

Step6: Solve for $L$

$L = 16.75 - 3(3.5) = 16.75 - 10.5 = 6.25$

Answer:

• Cost of a large candle: $\$6.25$
• Cost of a small candle: $\$3.50$