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Alex, Michelle and Nurul baked some pineapple tarts. Alex baked twice as many pineapple tarts as Michelle. When Michelle gave 1/3 of her pineapple tarts to Alex and Nurul gave 5/7 of hers to Alex, Alex had a total of 859 pineapple tarts. Nurul had 58 pineapple tarts left in the end. How many pineapple tarts had Michelle left?

 Oct 26, 2021
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A==Alex,   M==Michelle,   N==Nurul

 

A ==2M

 

2M + 1/3M + 5/7N ==859

N - 5/7N ==58, solve for M, N

 

N ==203 - tarts that Nurul had

M ==306 -tarts that Michelle had to start with.

 

306 - (1/3 * 306) ==306 - 102 ==204 - tarts Michelle had left.

 Oct 26, 2021

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