Problema Solution

Sanjit has a collection of quarters and dimes worth $3.70. He has a total of 19 coins. How many quarters and how many dimes does Sanjit have?

Answer provided by our tutors

25X + 10Y = 370

X + Y = 19

X = 19-Y

 

25(19-Y) + 10Y = 370

475 - 25Y + 10Y = 370

-15Y = -105

15Y = 105

Y = 7

 

X = 19-Y

X = 19-7

X=12

 

Therefore Sanjit has 7 Dimes ($0.70) and 12 quarters ($3.00).