Question

Gifty works out that the material for a dress cost R dollar per meter and 3 meters are required for the dress. Acessories cost $50.00. what is the total amount of money Gifty will need to spend on the dress in terms of R? If Gifty has $4000 to spend on her dress including accessories, what is the maximum value of R?

Answer 1

We are given that

Cost of dress per meter = $R

Total cost of dress = $ 3R

Cost of Acessories = $50

We want to find:

Part A

The total amount of money Gifty will need to spend on the dress in terms of R

To find the total amount, we just add up

Let T denotes the total amount of money

`\begin{gathered} T=3R+50 \\ \end{gathered}`

Thus, the total amount is $ (3R + 50)

Part B

If Gifty has $4000 to spend on her dress including accessories, what is the maximum value of R?​

We only need to equate T to 4000 and solve for R

`\begin{gathered} T=4000 \\ 3R+50=4000 \\ 3R=4000-50 \\ 3R=3950 \\ R=(3950)/(3) \\ R=1316.666667 \\ R=1316.67\text{ (to 2 decimal places)} \end{gathered}`

Thus, the maximum value of R is $1316.67