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Mrs Collins and Mrs Franklin were supposed to bake 280 cupcakes for a party altogether. In the end, Mrs Collins and Mrs Franklin  baked 328 cupcakes instead. If Mrs Collins baked 1/5 more cupcakes than what she should and Mrs Franklin baked 3/20 more cupcakes than she should, how many cupcakes were each of them supposed to bake at first?

 Oct 6, 2021
 #1
avatar+114812 
+1

Let C be the number that Mrs Collins was supposed to bake and 

let F be the number that Mrs Franklin was supposed to bake.

 

F+C = 280   (1)

 

(1  +  1/5)C   +  (1 + 3/20)F = 328    (2)

 

now simplify and solve them simultaneously.

 Oct 7, 2021
 #2
avatar+78 
+1

160 (Ms Franklin)

 

120 (Ms Collins)

Ticon6  Oct 7, 2021
 #3
avatar+114812 
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Good work !    laugh

Melody  Oct 8, 2021

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