Hayley can sell zucchini bread for $4 and banana bread for $3. What is the greatest amount of money she'll collect with 22 cups of sugar and 4 sticks of butter?
Recipes:
Banana bread- 2 cups of sugar, .25 sticks of butter
Zucchini bread- 1.5 cups of sugar, .5 sticks of butter
huh
Well, it looks like Hayley is quite the baker! Let's do some math, shall we?
With 22 cups of sugar, Hayley can make:
22 / 2 = 11 loaves of banana bread.
And with 4 sticks of butter, she can make:
4 / 0.25 = 16 loaves of banana bread.
So in total, she can make a maximum of 11 loaves of banana bread.
Now, let's talk zucchini bread. With 22 cups of sugar, Hayley can make:
22 / 1.5 = 14.67 loaves of zucchini bread.
And with 4 sticks of butter, she can make:
4 / 0.5 = 8 loaves of zucchini bread.
Since we can't really have fractions of loaves, the maximum number of zucchini bread she can make is 8.
Now, let's calculate the money she'll collect. With 11 banana bread loaves, she'll make:
11 * $3 = $33.
And with 8 zucchini bread loaves, she'll make:
8 * $4 = $32.
Therefore, the greatest amount of money she'll collect with the given ingredients is $33 from selling banana bread!
I hope I didn't make you too hungry with all this talk of delicious bread.
To determine the greatest amount of money Hayley can collect, we will calculate the maximum number of each type of bread she can make with the given amount of sugar and butter.
For Banana bread:
- 22 cups of sugar divided by 2 cups of sugar per banana bread recipe equals 11 banana breads
- 4 sticks of butter divided by 0.25 sticks of butter per banana bread recipe equals 16 banana breads
So, Hayley can make a maximum of 11 banana breads.
For Zucchini bread:
- 22 cups of sugar divided by 1.5 cups of sugar per zucchini bread recipe equals 14.67 zucchini breads (rounded down to 14 breads)
- 4 sticks of butter divided by 0.5 sticks of butter per zucchini bread recipe equals 8 zucchini breads
So, Hayley can make a maximum of 8 zucchini breads.
To calculate the maximum amount of money Hayley can collect, we multiply the number of each bread by its respective price:
Total money from selling banana bread = 11 banana breads * $3 = $33
Total money from selling zucchini bread = 8 zucchini breads * $4 = $32
Therefore, the greatest amount of money Hayley can collect is $33 by selling the banana breads.
To find the greatest amount of money Hayley can collect, we need to calculate the maximum number of loaves of banana bread and zucchini bread she can make with the given ingredients and then determine the total amount of money from selling those loaves.
Let's start by comparing the ingredients required for each recipe to the available ingredients:
Banana bread:
- Requires 2 cups of sugar: We have 22 cups of sugar, so Hayley can make a maximum of 22/2 = 11 loaves of banana bread.
- Requires 0.25 sticks of butter: We have 4 sticks of butter, so Hayley can make a maximum of 4/0.25 = 16 loaves of banana bread.
Zucchini bread:
- Requires 1.5 cups of sugar: With 22 cups of sugar, Hayley can make a maximum of 22/1.5 = 14.67 loaves of zucchini bread. However, since we cannot have a fraction of a loaf, she can make a maximum of 14 loaves of zucchini bread.
- Requires 0.5 sticks of butter: With 4 sticks of butter, Hayley can make a maximum of 4/0.5 = 8 loaves of zucchini bread.
Now, we need to determine the maximum amount of money Hayley can make by selling these loaves.
For the banana bread, with a selling price of $3 per loaf, Hayley can make a maximum of 11 * $3 = $33.
For the zucchini bread, with a selling price of $4 per loaf, Hayley can make a maximum of 14 * $4 = $56.
To find the greatest amount of money she can collect, we consider the higher amount between the banana bread and zucchini bread. In this case, the maximum amount of money Hayley can collect is $56 from selling the zucchini bread.
This is a question dealing with linear programming.
Let the number of banana breads baked be b
let the number of Zucchini breads baked be z
2b + 1.5z ≤ 22 ---> 4b + 3z ≤ 44
.25b + .5z ≤ 4 ---> b + 2z ≤ 16
solve the upper-boundary equations:
4b + 3z = 44
b + 2z = 16
solve these equations for b and z , comes out to nice whole numbers.
income = 4z + 3b
plug in your values and you got it