A florist makes bouquets that include 50 white flowers and 7 red flowers. If the florist orders 1,050 white flowers and 140 red flowers, there will be leftover flowers. How can the florist adjust the order so there are no leftover flowers?
To adjust the order so there are no leftover flowers, the florist needs to ensure that the number of white and red flowers ordered is a multiple of the quantities used in each bouquet.
The lowest common multiple (LCM) of 50 and 7 is 350. Therefore, the florist needs to order multiples of 350 in both white and red flowers.
For white flowers:
The florist needs to divide the total number of white flowers ordered, which is 1,050, by the LCM, which is 350: 1050 / 350 = <<1050/350=3>>3
This means the florist should order 3 sets of 350 white flowers, equal to 3 x 350 = 1050 white flowers in total.
For red flowers:
The florist needs to divide the total number of red flowers ordered, which is 140, by the LCM, which is 350: 140 / 350 = 0.4
This means the florist should order 1 set of 350 red flowers to have a total of 350 red flowers.
So, to have no leftover flowers, the florist needs to order 1050 white flowers and 350 red flowers.