Question

Carolina picked 24 yellow roses and jack picked 37 blue gentians. They decide to mix the flowers together and make bouquets with 8 flowers each. How many bouquets can they make?

Answer 1

By combining Carolina's 24 yellow roses and Jack's 37 blue gentians, they can make 7 complete bouquets of 8 flowers each, with 5 flowers left over.

Step-by-step explanation:

Carolina picked 24 yellow roses, and Jack picked 37 blue gentians. Combined they have a total of 24 + 37 = 61 flowers. They want to make bouquets with 8 flowers each. To find out how many full bouquets they can create, we divide 61 by 8, which equals 7 with a remainder of 5.

Therefore, they can make 7 complete bouquets, with 5 flowers left over. Since we're only counting complete bouquets, we don't consider the leftover flowers.

The colors of the flowers in this scenario are not relevant to solving the problem, as the question just asks for the number of possible bouquets they can make with the total amount of flowers they have, regardless of color.

Answer 2

Carolina and Jack can make 7 bouquets with the total of 61 flowers they picked. And 5 flowers remaining.

Step-by-step explanation:

Carolina picked 24 yellow roses, and Jack picked 37 blue gentians, making a total of 24 + 37 = 61 flowers.

To determine how many bouquets they can make with 8 flowers each, we divide the total number of flowers by the number of flowers in each bouquet:

`\( (61)/(8) \).`

The result is approximately 7.625. However, since the number of bouquets must be a whole number, we round down to the nearest whole number, which is 7. Therefore, Carolina and Jack can make 7 bouquets with the flowers they picked.

Now, let's check if there are any remaining flowers after making the 7 bouquets. To find the remainder, we subtract the product of the number of bouquets and flowers per bouquet from the total number of flowers:

61 - (7 × 8).

The result is 61 - 56 = 5.

Since 5 is less than the number of flowers in a bouquet, it means there are not enough flowers to make another full bouquet. Therefore, Carolina and Jack can make a total of 7 bouquets with the given flowers.

In conclusion, Carolina and Jack can create 7 bouquets using the 61 flowers they picked, with 5 flowers remaining. This ensures they utilize all the flowers efficiently while adhering to the constraint of 8 flowers per bouquet.