Johnson Stationery sells cards in packs of 7 and envelopes in packs of 5. If Brad wants the same number of each, what is the minimum number of cards that he will have to buy?
Question
Johnson Stationery sells cards in packs of 7 and envelopes in packs of 5. If Brad wants the same number of each, what is the minimum number of cards that he will have to buy?
Solution
To solve this problem, we need to find the least common multiple (LCM) of 7 and 5, which is the smallest number that is a multiple of both 7 and 5.
Step 1: List the multiples of each number.
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70... Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50...
Step 2: Find the smallest number that appears in both lists.
The smallest number that is a multiple of both 7 and 5 is 35.
So, Brad will have to buy at least 35 cards to have the same number of cards and envelopes.
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