Question

N a florist shop, the ratio of roses to tulips is 5 : 3. The shop has 72 tulips on Friday morning. If the florist uses up half of each type of flower to fill an order, will the ratio of roses to tulips in the shop change?

A) After the order, there are 36 roses and 36 tulips, which is equivalent to 5 : 3. The ratio does not change.
B) After the order, there are 12 roses and 36 tulips, which is equivalent to 5 : 3. The ratio does not change.
C) After the order, there are 24 roses and 30 tulips, which is equivalent to 5 : 3. The ratio does not change.
D) After the order, there are 40 roses and 60 tulips, which is equivalent to 5 : 3. The ratio does not change.

Answer 1

The ratio of roses to tulips in the shop will not change after using half of each type of flower to fill an order. The correct answer is option A) After the order, there are 36 roses and 36 tulips, which is equivalent to 5:3.

Step-by-step explanation:

To determine if the ratio of roses to tulips in the shop changes after using half of each type of flower to fill an order, we need to find the original number of roses in the shop. Since the ratio of roses to tulips is 5:3, we can set up a proportion using the given information. Let x be the number of roses in the shop:

5/3 = x/72

Cross-multiplying, we get:

3x = 5 * 72

3x = 360

x = 120

So, there are 120 roses in the shop. Half of 120 is 60. So, after the order, there will be 60 roses and 72/2 = 36 tulips in the shop. This is equivalent to a ratio of 5:3, so the ratio does not change. Therefore, the correct answer is option A) After the order, there are 36 roses and 36 tulips, which is equivalent to 5:3. The ratio does not change.