You’re ordering more thread for Blue Jeans Co. You usually purchase from Ted’s Threads, which sells 12 thread spools for $27. You recently received a notice from Wade's Wares that says you can buy thread from them for $2.30 each for the first 2 dozen and $2 a spool thereafter. You need to order 5 dozen spools. What percentage can you save by going with Wade’s Wares?

Respuesta :

aachen

Answer:

5.78 %

Step-by-step explanation:

Given: we’re ordering more thread for Blue Jeans Co, Ted’s Threads sells 12 thread spools for $27 we can buy thread from Wade's Wares for $2.30 each for the first 2 dozen and $2 a spool thereafter.

To Find: What percentage can we save by going with Wade’s Ware

Solution:

price of 12 thread spools from Ted's Threads=[tex]\$[/tex] [tex]27[/tex]

cost of buying 5 dozen thread spools from Ted's Threads=[tex]5\times[/tex] [tex]\$[/tex] [tex]27[/tex]

                                                                  [tex]\$[/tex] [tex]135[/tex]  

now,

cost of one spool for first 2 dozen spools from Wade's Wares=[tex]\$[/tex] [tex]2.30[/tex]

cost of buying of first 2 dozen spools from Wade's Wares=[tex]2\times12\times[/tex] [tex]\$[/tex] [tex]2.30[/tex]

                                                                 [tex]\$[/tex] [tex]55.2[/tex]

cost of buying of rest 3 dozen spools from Wade's Wares= [tex]3\times12\times[/tex] [tex]\$[/tex] [tex]2[/tex]

                                                                  [tex]\$[/tex] [tex]72[/tex]

total cost of buying from Wade's Wares=[tex]\$[/tex] [tex](55.2+72)[/tex]

                                                                [tex]\$[/tex] [tex]127.2[/tex]

Money saved=cost of buying from Ted's Threads - cost of buying from Wade's Wares

                      [tex]\$[/tex] [tex](135-127.2)[/tex]

                      [tex]\$[/tex] [tex]7.8[/tex]

percentage saving=[tex]\frac{\text{money saved}}{\text{cost of buying from Ted's Threads}}\times100[/tex]

                               [tex]\frac{7.8}{135}\times100[/tex]

                               ≅[tex]5.78[/tex]%

we can save [tex]5.78[/tex]% by going with Wade's Wares