-15 (Total tor question $=3$ marks)
2. Caroline is making some table decorations.
Each decoration is made from a candle and a holder.
Caroline buys some candles and some holders each in packs.
There are 30 candles in a pack of candles.
There are 18 holders in a pack of holders.
Caroline buys exactly the same number of candles and holders.
(i) How many packs of candles and how many packs of holders does Caroline buy?
Answer
\(\boxed{\text{Caroline buys 3 packs of candles and 5 packs of holders}}\)
Step 1 ：Find the least common multiple (LCM) of 30 and 18: \(\text{LCM}(30, 18) = 90\)
Step 2 ：Divide the LCM by the number of candles and holders in each pack: \(\frac{90}{30} = 3\) packs of candles and \(\frac{90}{18} = 5\) packs of holders
Step 3 ：\(\boxed{\text{Caroline buys 3 packs of candles and 5 packs of holders}}\)
