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

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

52 Tk. 4 bats

**Ask the House**