Question

1A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.Draw a diagram that shows the amount of flour and vanilla needed for two batches ofcookies. (use E for flour and V for vanilla)2b= 10f+2tI2.How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla?Indicatethe additional batches by adding more ingredients to your diagram.3. How much flour and vanilla would you need for 5 batches of cookies?4. Whether the ratio of cups of flour to teaspoons of vanilla is 5:2, 10:4, or 15:6 the recipes wouldmake cookies that taste the same. We call these equivalent ratios.a. Find another ratio of cups of flour to teaspoons of vanilla that is equivalent to theseratios.

Answer 1

1.

Let:

B=Batches of cookies

E=Flour

V=Vanilla

2. one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla. Therefore:

15E/5 = 3E ; 6V/2 = 3V

We can conclude that with that amount we can make 3 batches of

cookies:

3. As we said before, one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla:

B = 5E + 2V

So, let's multiply both sides of the previous equation by 5:

5*B = 5*(5E + 2V)

Using distributive property:

5B = 25E + 10V

Therefore we would need 25 cups of flour and 10 teaspoons of vanilla in order to make 5 batches of cookies.

4. We can find another ratio of cups of flour to teaspoons of vanilla simply multiplying this equation B = 5E + 2V by a random positive integer:

For example by 7:

7*B = 7*(5E + 2V)

7B = 35E + 14V

So, another equivalent ratio is:

35:14