Question

When you get home to plant the flowers, you have 3 different flowerbeds that you plan on planting flowers.

You have two flowerbeds where you want the same ratio for tulips to geraniums.
In one of these flowerbeds you have 4 tulips and 3 geraniums.
The other flowerbed you have 6 geraniums.

• How many tulips should there be in the second flowerbed to have the same ratio of tulips and geraniums as the first flowerbed?

• How many total geranium flowers are used in these two flowerbeds?

• How many total tulip flowers are to be used in these two flowerbeds?

• How many of each do we have left to use in the remaining flowerbed?

Answer 1

we know that

in the first flowerbeds you have 4 tulips and 3 geraniums

so

the ratio for tulips to geraniums is

4/3

In the second flowerbed you have 6 geraniums

Part 1) How many tulips should there be in the second flowerbed to have the same ratio of tulips and geraniums as the first flowerbed?

let

x--------> tulips in the second flowerbed

by proportion

4/3=x/6-------> 6*4=3*x------> x=24/3------> x=8 tulips

the answer part 1) is

8 tulips

Part 2) How many total geranium flowers are used in these two flowerbeds?

total geranium flowers is equal to

geranium flowers flowerbeds 1+geranium flowers flowerbeds 2

so

total geranium flowers=3+6------> 9 geranium flowers

the answer Part 2) is

9 geranium flowers

Part 3) How many total tulip flowers are to be used in these two flowerbeds?

total tulip flowers is equal to

tulip flowers flowerbeds 1+tulip flowers flowerbeds 2

so

total tulip flowers=4+8------> 12 tulip flowers

the answer Part 3) is

12 tulip flowers

Part 4) How many of each do we have left to use in the remaining flowerbed?

missing information to answer this question