For a batch of cookies the ratio of chocolate chips to peanut butter chips is 24:32. If there is a total of 336 chips altogether in the mix, how many are chocolate chips

The ounces of chocolate chips used by Mrs Jacob is 70 ounce

Solution:

Given that Jacob is making several batches of cookies and is using 84 total ounces of chips

Let "c" be the ounces of chocolate chips

Let "p" be the ounces of peanut butter chips

To find: ounces of chocolate chips used by Mrs Jacob

Given that There are 5 times as many ounces of chocolate chips as peanut butter chips

Thus we can frame a equation as:

ounces of chocolate chips = 5 x ounces of peanut butter chips

c = 5p eqn 1

Jacob used 84 total ounces of chip. Therefore,

ounces of chocolate chips + ounces of peanut butter chips = 84

c + p = 84 eqn 2

Substitute eqn 1 in eqn 2

5p + p = 84

6p = 84

p = 14

Substitute p = 14 in eqn 1

c = 5(14) = 70

c = 70

Thus the ounces of chocolate chips used by Mrs Jacob is 70 ounce

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