A sporting goods store sold 64 cricket bats in one week, some for Tk. 3 and the rest for Tk. 4 each. If receipts from bat sales for the week totaled Tk. 204, what is the fewest number of Tk. 4 cricket bats that could have been sold?
x = # of Tk. 3 bats
y = # of Tk. 4 bats x + y = 64 {# of bats sold was 64} 3x + 4y = 204 {total for bats was 204} 3x  3y = 192 {multiplied top equation by 3} 3x + 4y = 204 {bottom equation stays the same}  y = 12 {added the two equations, eliminating the x} x + y = 64 {first equation} x + 12 = 64 {substituted 12, in for y, into first equation} x = 52 {solved for x} 12 Tk. 3 bats 52 Tk. 4 bats Ask the House
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