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1. Let x = Number of nickels

y= Number of quarters

Equation:  (i)

Equation:   (ii)  [∵ 1 nickel = $0.05 , 1 quarter = $0.25]

Multiply equation (ii) by 20, we get

 (iii)

Eliminate (i) from (iii), we get

put y= 10 in (i) ,

Sentence = " Jane has 10 nickels and 10 quarters".

2. Let x = Number of dimes

y= Number of nickels

Equation:  (i)

Equation:   (ii)  [∵ 1 nickel = 5 cents, 1 quarter = 25 cents]

Multiply equation (i) by 5, we get

 (iii)

Eliminate (iii) from (ii), we get

put x=3 in (i) ,

Sentence = " Joey has 3 dimes and 9 nickels".