QuestionAmelia made 12 flowers and makes 10/hour. Colette makes 14/hour. When will they have the same total? Find hours.
Studdy Solution
STEP 1
Assumptions1. Amelia has already made12 flowers.
. Amelia makes an additional10 flowers each hour.
3. Colette has just started, meaning she has made0 flowers.
4. Colette makes14 flowers each hour.
STEP 2
We need to find the time when Amelia and Colette have made the same number of flowers. This means we need to set up an equation where Amelia's total flowers equals Colette's total flowers.
STEP 3
We can express Amelia's total flowers as the sum of the flowers she has already made and the flowers she will make in the future (10 flowers per hour times the number of hours). Similarly, we can express Colette's total flowers as the number of flowers she makes per hour times the number of hours.
STEP 4
To solve for hours, we need to isolate hours on one side of the equation. We can start by subtracting from both sides of the equation.
STEP 5
implify the right side of the equation by combining like terms.
STEP 6
Finally, we can solve for hours by dividing both sides of the equation by4.
STEP 7
Calculate the number of hours.
It will take3 hours for Amelia and Colette to have made the same number of flowers.
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