Question

Jasmine is making 150 bracelets and she needs 26 cm of silver wire for each bracelet. She will buy either the 3.7 metre or the 10.5 metre packs. She wants to pay as little as possible for the silver wire. How much will she have to pay for the silver wire to make 150 bracelets? £

Answer 1

The least possible price is p = £110

Explanation:

From the question we are told that

The number of bracelets to be made is
`n = 150`

The length of silver require for on bracelet is
`x = 26 \ cm = 0.26 \ m`

The option of silver length packs that she buys is a = 10.5 m packs

b = 3.7 m packs

Generally

1 bracelet
`\to` 0.26 m

150 bracelet
`\to` z

=>
`z = (150 * 0.26)/(1)`

=>
`z = 39 \ m`

Now for option a i.e 10.5 m per pack

The number of packs require is

`v = (z)/(a)`

=>
`v = (39)/( 10.5)`

=>
`v = 3.7 1`

given that the number of packs cannot be a fraction but an integer hence she needs to purchase v = 4

and that 4 packs would equal t = 4 * 10.5 = 42 meters of silver

Now for option d i.e 3.7 meters per pack

The number of packs requires is

`w = (z)/(b)`

=>
`w = (39)/(3.7)`

=>
`w = 10.54`

given that the number of packs cannot be a fraction but an integer hence she needs to purchase w= 11

and that 11 packs would equal t = 11 * 3.7 = 40.7 meters of silver

So the comparing the option and option b we see that for her to pay as little as possible she needs to go for option b since option be will produce the 150 bracelet with a little excess while option a will produce the 150 bracelet with much excess

Assuming the price for the 3.7 m pack is £10

And the price for the 10.7 pack is £30

The least possible amount she would pay is

`p = 10 * 11`

p = £110