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At a party, there were a total of 232 muffins and

chicken nuggets.

After the guests ate 3/5 of the muffins and 4/7 of the

nuggets, there were an equal number of muffins and

nuggets left.

(a)   How many muffins were left?

(b)   How many chicken nuggets were there at first?

 Nov 1, 2021
 #1
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Let the total number of muffins ==M

Let the total number of xhicken nuggets ==N

 

M   -  3/5M ==2/5M - muffins left

N    -  4/7N ==3/7N - chicken nuggets left

 

M  +  N ==232

2/5M  == 3/7N, solve for M, N

 

Use substitution to get:

M ==120,    N ==112 

 

(a) 2/5 * 120 ==48 muffins left

(b) N ==112 - chicken nuggets at first.

 Nov 1, 2021

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