Tasty bakery sells three kinds of cookies Chocolate chip at $.30 each oatmeal raisin at $.35 each and peanut butter at $.40 each can despise some of each kind and choose is twice as many peanut butters is chocolate chip if she spends $5.75 on 16 cookies how many oatmeal raisin cookies did she buy

She buy 7 oatmeal raisin cookies.

Step-by-step explanation:

Given:

Tasty bakery sells three kinds of cookies Chocolate chip at $.30 each oatmeal raisin at $.35 each and peanut butter at $.40 each.

She buys some of each kind and chooses twice as many peanut butters as chocolate chip.

If she spends $5.75 on 16 cookies.

Now, to find the quantity of oatmeal raisin cookies she buy.

Let the quantity of oatmeal raisin cookies be

And let the quantity of Chocolate chip cookies be .

So, the quantity of peanut butter cookies is

Now, the total quantity of cookies:

Now, the total money she spends on buying cookies:

Substituting the value of from equation (1):

Subtracting both sides by 5.6 we get:

Dividing both sides by 0.15 we get:

The quantity of Chocolate chip cookies = 3.

Now, to substitute the value of in equation (1) to get the quantity of oatmeal raisin cookies:

The quantity of oatmeal raisin cookies = 7.

Therefore, she buy 7 oatmeal raisin cookies.