Last week, a candle store received $355.60 for selling 20 candles Small candles sell for $10.98 and large candles sell for $27.98 How many large candles did the store sell?

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Answer 1 · 2016-12-02T21:15:28

The store sold 8 large candles.

First, let's call the small candles the store sells #s# and the large candles they sell #l#:

Then, from the problem, we know:

#s + l = 20#

and

#s*10.98 + l*27.98 = 355.60#

If we solve the first equation for #s# we get:

#s + l - l = 20 - l#

#s + 0 = 20 - l#

#s = 20 - l#

Now, we can substitute #20 - l# for #s# in the second equation and solve for #l#:

#((20-l)*10.98) + 27.98l = 355.60#

#219.60 - 10.98l + 27.98l = 355.60#

#219.60 + 17l = 355.60#

#219.60 - 219.60 + 17l = 355.60 - 219.60#

#0 + 17l = 136#

#17l = 136#

#(17l)/17 = 136/17#

#l = 8#