A municipality has budgeted R80 000 for putting up new street name boards. The street name boards cost R134 each. How many new street name boards can be put up, and how much money will be left in the budget?

Let the number of street name boards be \( n \). The total cost is given by \[ \text{Total Cost} = 134 \times n \] The budget is R80,000, so we require \[ 134 \times n \leq 80000 \] To find the maximum number of boards, divide the budget by the cost per board: \[ n \leq \frac{80000}{134} \approx 597.0149 \] Since \( n \) must be a whole number, the maximum number of boards that can be put up is \( n = 597 \). Next, we calculate the total cost for 597 boards: \[ 134 \times 597 = 79998 \] Finally, the remaining budget is \[ 80000 - 79998 = 2 \] Thus, 597 boards can be put up and there will be R2 left in the budget.