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Standard IX

Mathematics

Applications of Pair of Equations

Miguel and Tr...

Question

Miguel and Trisha have a total of P80.00. After Miguel spent P5.25 on a packet popcorn chips, he is left with 4 times as much money as Trisha. How much does Trisha have?

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Solution

Dear Student,

$L e t M i g u e l' s m o n e y b e x a n d T r i s h a' s m o n e y b e y . A T Q, x + y = 80 - - - - - (1) N o w, T r i s h a s p e n t 5.25 . S o, y - 5.25 = 4 x S o, y = 5.25 + 4 x U \sin g t h i s i n e q u a t i o n (1) x + (5.25 + 4 x) = 80 x + 4 x = 80 - 5.25 5 x = 74.75 x = 14.95 S u b s t i t u t i n g, x i n e q u a t i o n (1) 14.95 + y = 80 y = 80 - 14.95 y = 65.05$

So, Trisha has P 65.05
Regards!

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Miguel and Trisha have a total of P80.00. After Miguel spent P5.25 on a packet popcorn chips, he is left with 4 times as much money as Trisha. How much does Trisha have?

Dear Student, Let Miguel's money be x and Trisha's money be y.ATQ,x+y=80-----(1)Now, Trisha spent 5.25. So,y-5.25=4xSo,y=5.25+4xUsing this in equation (1)x+(5.25+4x)=80x+4x=80-5.255x=74.75x=14.95Substituting, x in equation (1)14.95+y=80y=80-14.95y=65.05 So, Trisha has P 65.05 Regards!