) The ratio of the number of cookies baked by Linus to Omar is 8 : 7. After Linus gave
away 36 cookies, Omar had twice as many cookies as Linus. How many cookies did
they bake altogether?

120 cookies

Explanation:

Ratio of cookies baked :

Linus : Omar = 8 : 7

Let total = x

Linus = 8/(8+7) * x = 0.533333x

Omar = 0.4666666x

2(0.5333333x - 36) = 0.4666666x

1.0666666x - 72 = 0.4666666x

1.0666666x - 0.4666666x = 72

0.6x = 72

x = 72/0.6

x = 120

L / O = 8 / 7

L = (8/7)O

O 2

= cross-multiply

L - 36 1

2 ( L - 36) = O

2L - 72 = O divide through by 2

2 (8/7)O - 72 = 0

(16/7)O - (7/7)O = 72

(9/7)O = 72

O = (72)(7/9) = 56

L = (8/7) (56) = 64

56 + 64 = 120

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