Calculate the cost of tiling a classroom floor and explain the pricing terms.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the answers for Activity 3 and Activity 4.

Activity 3: Cost of tiles
Given:
Classroom floor area = $63 \text{ m}^2$
Tiles cost = R180 per $\text{m}^2$

Calculate the total cost of the tiles.
$\text{Total cost of tiles} = \text{Area} \times \text{Cost per m}^2$ $\text{Total cost of tiles} = 63 \text{ m}^2 \times \text{R}180/\text{m}^2$ $\text{Total cost of tiles} = \text{R}11\,340$
The total cost of the tiles is $\boxed{\text{R}11\,340}$ .
Explain what "R180 per $\text{m}^2$ " means.
"R180 per $\text{m}^2$ " means that for every square meter of tiles purchased, the cost is R180. It represents the unit price of the tiles.
If tiles increase by R20 per $\text{m}^2$ , calculate the new cost.
$\text{New cost per m}^2 = \text{Original cost per m}^2 + \text{Increase}$ $\text{New cost per m}^2 = \text{R}180/\text{m}^2 + \text{R}20/\text{m}^2 = \text{R}200/\text{m}^2$ $\text{New total cost} = \text{Area} \times \text{New cost per m}^2$ $\text{New total cost} = 63 \text{ m}^2 \times \text{R}200/\text{m}^2$ $\text{New total cost} = \text{R}12\,600$
The new total cost of the tiles is $\boxed{\text{R}12\,600}$ .

Activity 4: Tiling with labour
Given:
Area = $63 \text{ m}^2$
Contractor charges:
Tiles: R180 per $\text{m}^2$
Labour: R60 per $\text{m}^2$
Call-out fee: R850
Calculate the cost of tiles.
$\text{Cost of tiles} = \text{Area} \times \text{Cost per m}^2$ $\text{Cost of tiles} = 63 \text{ m}^2 \times \text{R}180/\text{m}^2$ $\text{Cost of tiles} = \text{R}11\,340$
The cost of tiles is $\boxed{\text{R}11\,340}$ .
Calculate the labour cost.
$\text{Labour cost} = \text{Area} \times \text{Labour cost per m}^2$ $\text{Labour cost} = 63 \text{ m}^2 \times \text{R}60/\text{m}^2$ $\text{Labour cost} = \text{R}3\,780$
The labour cost is $\boxed{\text{R}3\,780}$ .
Calculate the total cost of the job.
$\text{Total cost of job} = \text{Cost of tiles} + \text{Labour cost} + \text{Call-out fee}$ $\text{Total cost of job} = \text{R}11\,340 + \text{R}3\,780 + \text{R}850$ $\text{Total cost of job} = \text{R}15\,970$
The total cost of the job is $\boxed{\text{R}15\,970}$ .
Which cost depends on area and which does not?
- The cost of tiles and the labour cost depend on the area because they are calculated per square meter.
- The call-out fee does not depend on the area; it is a fixed charge regardless of the size of the job.

Calculate the cost of tiling a classroom floor and explain the pricing terms.

Step-by-step solution

Calculate the total cost of the tiles.

Explain what "R180 per $\text{m}^2$ " means.

If tiles increase by R20 per $\text{m}^2$ , calculate the new cost.

Calculate the cost of tiles.

Calculate the labour cost.

Calculate the total cost of the job.

Which cost depends on area and which does not?

Still stuck on this one?

More Mathematics Questions

Calculate the cost of tiling a classroom floor and explain the pricing terms.

Step-by-step solution

Calculate the total cost of the tiles.

Explain what "R180 per m2\text{m}^2m2" means.

If tiles increase by R20 per m2\text{m}^2m2, calculate the new cost.

Calculate the cost of tiles.

Calculate the labour cost.

Calculate the total cost of the job.

Which cost depends on area and which does not?

Still stuck on this one?

More Mathematics Questions

Explain what "R180 per $\text{m}^2$ " means.

If tiles increase by R20 per $\text{m}^2$ , calculate the new cost.