Question

You wish to buy a new set of strings for your guitar. You phone five different

music shops and obtain a quote for a set of strings from each of them. The
average price charged by the five music shops is R225,00. If the first two music
shops both charge R180,00 for the strings, while the third and fourth shops
respectively charge R280,00 and R270,00, how much did the fifth music shop
charge for the strings?

Answer 1

215,00.

Explanation:

Average price = 22500

18000*2 + 28000 + 27000 + x = 22500*5

91000 + x = 112500

X = 21500

Answer 2

R215,00

Explanation:

Let x = amount the 5th music shop charges for the strings

`\sf mean=\frac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}`

`\implies \sf 225=(180+180+280+270+x)/(5)`

`\implies \sf 225\cdot 5=910+x`

`\implies \sf 1125=910+x`

`\implies \sf x=1125-910`

`\implies \sf x=215`

Therefore, the fifth music shop charged R215,00 for the strings.