Question

You want to plant a flower garden in your yard so that you can make a beautiful bouquet to put on the alter at church for Easter Sunday services. There are two types of flowers that you are going to be planting. You will be planting some tulips and daffodils. At the store tulips come in packs of 6 and daffodils come in packs of 8.

What is the least amount of packs of daffodils and tulips you would need to buy to have the same amount of each?

How many should you have of each kind of flower?


Each pack of tulips costs $4.50 and each pack of daffodils cost $5.75. From the previous problem, you know how many packs of each you will need. The sales tax is 6.5%.
How much tax will you be paying for all the flowers, to the nearest cent?



How much total will you be paying for all flowers, to the nearest cent?



You remember that you have a discount coupon for $2.75 off before tax.
How much did the flowers cost with the discount including tax (Round to the nearest penny)?



How much money did you save with the coupon including tax?


When you get home to plant the flowers, you have 3 different flowerbeds in which you plan on planting flowers. You have two flowerbeds where you want the same ratio for tulips to daffodils. In one of these flowerbeds you have 6 tulips and 8 daffodils. The other flowerbed you have 4 daffodils.
How many tulips should there be in the second flowerbed to have the same ratio of tulips and daffodils as the first flowerbed?


How many total daffodils are used in these two flowerbeds?


How many total tulips are to be used in these two flowerbeds?


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


The flowers are supposed to get 1.5 cups of water per plant. You have a 3-quart water pail.
How many flowers can you water before having to go back to fill up your pail?




After a few days 1/4 of all your tulips and 1/2 of all your daffodils died.
How many tulips and how many daffodils do you need to purchase of each kind of plant to replace the flowers that died?




Next year you want to have 7 more than double the amount of plants you had this year.
How many total plants should you have for next year?



Flowers need nourishment to grow such as sunlight and water. As a Christian, we also need nourishment to grow in our relationship with Christ. What are some ways we as Christians gain nourishment that helps us grow closer to Christ? Include a Bible verse to support your answer. Use at least 2-3 complete sentences for your answer.

Answer 1

To have an equal amount of tulips and daffodils, you need to buy 24 of each type of flower. The tax amount for all the flowers is $15.21, and the total cost including tax is $249.21. With a $2.75 discount, the cost including tax is $246.46 and the savings including tax is $2.75. The second flowerbed should have 3 tulips to have the same ratio as the first flowerbed. There are a total of 11 daffodils and 9 tulips in the two flowerbeds. There are 15 tulips and 13 daffodils left to use in the remaining flowerbed. With a 3-quart water pail, you can water 12 flowers before refilling. To replace the dead flowers, you would need to purchase 6 tulips and 12 daffodils. For next year, you should have 103 plants. Some ways Christians gain nourishment to grow closer to Christ are through prayer, reading the Bible, attending church, and fellowship with other believers. John 6:35 says, 'I am the bread of life; whoever comes to me shall not hunger, and whoever believes in me shall never thirst.'

Step-by-step explanation:

To find the least amount of packs of daffodils and tulips you would need to buy to have the same amount of each, you can find the least common multiple (LCM) of 6 and 8. The LCM of 6 and 8 is 24. Therefore, you would need to buy 24 tulips and 24 daffodils.

For the sales tax, you first need to calculate the total cost of all the flowers before tax. Each pack of tulips costs $4.50 and each pack of daffodils costs $5.75. The total cost of all the flowers before tax would be (4.50 × 24) + (5.75 × 24) = $234. The tax amount would be 6.5% of $234, which is $15.21. So, you would be paying $15.21 in tax for all the flowers.

The total cost of all the flowers including tax would be $234 + $15.21 = $249.21.

With the discount coupon of $2.75 off before tax, the cost of the flowers including tax would be ($234 - $2.75) + $15.21 = $246.46.

The amount saved with the coupon including tax would be $249.21 - $246.46 = $2.75.

To find the ratio of tulips to daffodils in the first flowerbed, you divide the number of tulips by the number of daffodils: 6 / 8 = 0.75. To have the same ratio in the second flowerbed, you multiply the number of daffodils by 0.75: 4 × 0.75 = 3. Therefore, there should be 3 tulips in the second flowerbed.

In the two flowerbeds, there are a total of 8 + 3 = 11 daffodils.

In the two flowerbeds, there are a total of 6 + 3 = 9 tulips.

You have 24 - 9 = 15 tulips and 24 - 11 = 13 daffodils left to use in the remaining flowerbed.

Since you have a 3-quart water pail, you can water a total of 3 × 4 = 12 flowers before having to refill the pail.

If 1/4 of all the tulips died, you would need to replace 1/4 × 24 = 6 tulips. If 1/2 of all the daffodils died, you would need to replace 1/2 × 24 = 12 daffodils.

Next year, you want to have 7 more than double the amount of plants you had this year. You had a total of 24 + 24 = 48 plants this year. Double that amount is 48 × 2 = 96. Adding 7 to that gives you a total of 96 + 7 = 103 plants for next year.

As Christians, we gain nourishment to grow closer to Christ through prayer, reading the Bible, attending church, and fellowship with other believers. In John 6:35, Jesus said, 'I am the bread of life; whoever comes to me shall not hunger, and whoever believes in me shall never thirst.' This verse reminds us that Jesus is the ultimate source of our spiritual nourishment.