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Question

Terence, Mirza and Elliot had some stamps. Mirza and Elliot together had 3 times as many stamps as Terence. The ratio of the number of stamps Mirza had to the number of stamps Elliot had was 3:7. Terence and Elliot had 310 stamps altogether. How many stamps did Terence have?

Answer

Mirza and Elliot together had 3 times as many stamps as Terence.

M + E -> 30u

T -> 10u

 

M : E

3 : 7  or  9u : 21u for a total of 30u as above.

 

T + E -> 10u + 21u = 31u = 310

T -> 10u = (310 / 31) x 10 = 100

Terence had 100 stamps.

 

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