Problem
-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?
Solution
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 ：\(\boxed{\text{Caroline buys 3 packs of candles and 5 packs of holders}}\)
