Siti has xx number of $5 notes. Aisha has yy number of $2 notes. They have a total of 30 notes with total value $111. Form and solve two simultaneous equations to calculate the amount of money Siti has. Answer $...

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Worked solution

19

1. Form equations for the total number of notes and the total value of the notes.

Since Siti has xx $5 notes and Aisha has yy $2 notes,

x+y=30x+y=30

For the total value,

5x+2y=1115x+2y=111

2. Eliminate one variable to find the number of \$5 notes Siti has.

From x+y=30x+y=30,

2x+2y=602x+2y=60

Subtract this from 5x+2y=1115x+2y=111:

5x+2y−(2x+2y)=111−605x+2y-(2x+2y)=111-60

3x=513x=51

x=17x=17

3. Calculate the amount of money Siti has.

Siti has 1717 notes of $5 each.

17×5=8517\times 5=85

Answer

$85

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