Maria and Sheila took part in a Mathematics competition. Sheila obtained 96 marks in the competition. If 2/5 of Maria's marks is equal to 1/4 of Sheila's marks, calculate the total marks obtained by both of them in the competition.​

Maria and Sheila took part in a Mathematics competition Sheila obtained 96 marks in the competition If 25 of Marias marks is equal to 14 of Sheilas marks calcul class=

Respuesta :

Maria and Sheila total marks are illustrations of proportions

The total marks obtained by both is 156

How to determine their total marks?

The given parameters are:

Sheila = 96 marks

2/5 of Maria's marks = 1/4 of Sheila's marks

The second highlight above means that:

2/5 * Maria = 1/4 * 96

Multiply both sides by 5/2

Maria = 1/4 * 96 * 5/2

Evaluate the product

Maria = 60

Their total mark is then calculated as:

Total = Sheila + Mark

This gives

Total = 96 + 60

Evaluate the sum

Total = 156

Hence, the total marks obtained by both is 156

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