Xavier mixes \( 2 \frac{4}{5} \) buckets of coarse sand with \( 1 \frac{1}{5} \) buckets of cement to make a special type of concrete. How many buckets of concrete will he make? Tasneem is an intern at ZX Communications Agency. She earns R4 500 a month. 1.2.1 \( \quad \) Write the number 4500 in scientific notation. \( 1.2 .2 \quad \) Increase R4 500 in the ratio \( 5: 6 \).

### Part 1 Xavier mixes \(2 \frac{4}{5}\) buckets of coarse sand with \(1 \frac{1}{5}\) buckets of cement. To find the total number of buckets of concrete produced, we first convert each mixed number to an improper fraction. 1. Convert \(2 \frac{4}{5}\) to an improper fraction: \[ 2 \frac{4}{5} = \frac{2 \times 5 + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5} \] 2. Convert \(1 \frac{1}{5}\) to an improper fraction: \[ 1 \frac{1}{5} = \frac{1 \times 5 + 1}{5} = \frac{5 + 1}{5} = \frac{6}{5} \] 3. Add the two fractions to obtain the total: \[ \frac{14}{5} + \frac{6}{5} = \frac{14 + 6}{5} = \frac{20}{5} = 4 \] Thus, Xavier makes \(4\) buckets of concrete. ### Part 1.2.1 To express \(4500\) in scientific notation, we write it as: \[ 4500 = 4.5 \times 10^3 \] ### Part 1.2.2 To increase R4 500 in the ratio \(5:6\), we interpret this as multiplying by \(\frac{6}{5}\): 1. Multiply R4 500 by \(\frac{6}{5}\): \[ 4500 \times \frac{6}{5} = 4500 \times 1.2 = 5400 \] Thus, after the increase, the new amount is R5400.