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The florist can order roses in bunches of one dozen and lilies in bunches of 8. Last month she ordered the same number of roses as lilies.

a.) If she ordered no more than 100 roses, how many bunches of each could she have ordered? Give two possibilities and explain your answers.

b.) What are the smallest numbers of bunches she could have ordered of each? Explain your reasoning.

Respuesta :

Step-by-step explanation:

From the problem we know that:

Roses come in bunches of 12

Lilies come in bunches of 8

The number of Roses and Lilies were the same

1) We are looking for the multiple of 12 and 8. This would be 96. This could mean that there were 8 bunches of roses and 12 bunches of lilies. This would be a total of 20 bunches

Another option could be 48 of each. This would mean that there were 4 bunches of roses and 6 bunches of lilies. Giving a total of 10 bunches of flowers.

2) For this one, we are looking for the smallest multiple of both 8 and 12. This would be 24. That means that there would be 2 bunches of roses and 3 bunches of lilies. This would be a total of 5 bunches of flowers, the smallest number that could have been ordered.