A toy company manufactures miniature cars. They sell miniature sports cars in a box. They sell 12 miniature trucks in a box. Mrs. Murphy wants to buy an equal number of sports cars and trucks for the Boys and Girls Club. What is the least number of miniature sports cars she can buy? I'm in 6th grade and I think you have to multiply maybe? I'm not sure how to start this problem.
If 5 is added to the sum of twice a number and three times the number the result is 25
How many cars are in a box?
To find the least number of miniature sports cars Mrs. Murphy can buy, you can start by finding the least common multiple (LCM) of 12 and the number of trucks in a box.
The LCM is the smallest number that both numbers divide evenly into. In this case, the LCM is the smallest number that is divisible by both 12 and the number of trucks in a box.
Since the number of trucks in a box is 12, the LCM of 12 and 12 is simply 12. Therefore, Mrs. Murphy would need to buy at least 12 miniature sports cars in order to have an equal number of sports cars and trucks.
You're on the right track! To determine the least number of sports cars Mrs. Murphy needs to buy, we'll first find the least common multiple (LCM) of the quantities of sports cars and trucks sold in a box.
The LCM is the smallest common multiple of two or more numbers. In this case, we want to find the LCM of 1 (the quantity of sports cars sold in a box) and 12 (the quantity of trucks sold in a box).
To find the LCM, you can start by listing the multiples of 1 and 12 and look for the smallest number that appears in both lists.
For 1, the multiples are: 1, 2, 3, 4, 5, 6, ...
For 12, the multiples are: 12, 24, 36, ...
The least number that appears in both lists is 12. Therefore, the LCM of 1 and 12 is 12.
Since the LCM represents the number of cars needed to evenly distribute between the sports cars and trucks, Mrs. Murphy would need to buy at least 12 miniature sports cars to have an equal number of sports cars and trucks for the Boys and Girls Club.