QuestionCalculate $\mathbf{P}$ and $\mathbf{Q}$ using the formula: Total Cost $(R)=500+5 \times$ number of mesh bags.

Studdy Solution

STEP 1

Assumptions1. The base cost per month is R500. Each mesh bag adds an additional cost of R53. The total cost is calculated as the sum of the base cost and the cost of the mesh bags4. The number of Amadumbe packs corresponds to the number of mesh bags5. The values of and Q are the total costs for20 and Q number of Amadumbe packs respectively

STEP 2

First, let's use the given formula to find the total cost for20 Amadumbe packs (). The formula is $Total\, Cost\, (R) = R500 + R5 \times \text{number of mesh bags}$

STEP 3

Now, plug in the given values for the base cost, the cost per mesh bag, and the number of mesh bags (20) to calculate.
$= R500 + R5 \times20$

STEP 4

Calculate the value of.
$= R500 + R \times20 = R600$

STEP 5

Next, let's use the given formula to find the total cost for Q Amadumbe packs. The formula is the same $Total\, Cost\, (R) = R500 + R5 \times \text{number of mesh bags}$

STEP 6

We know that the total cost for Q Amadumbe packs is R825. So, we can set up the following equation and solve for Q $R825 = R500 + R5 \times Q$

STEP 7

Subtract R500 from both sides of the equation to isolate the term with Q.
$R325 = R5 \times Q$

STEP 8

Divide both sides of the equation by R5 to solve for Q.
$Q = R325 / R5$

STEP 9

Calculate the value of Q.
$Q = R325 / R5 =65$ So, the values of and Q are R600 and65, respectively.

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