Question

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?

Answer 1

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= $27$

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

                                                                  $135$  

now,

cost of one spool for first 2 dozen spools from Wade's Wares= $2.30$

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

                                                                  $55.2$

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

                                                                  $72$

total cost of buying from Wade's Wares= $(55.2+72)$

                                                                $127.2$

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

                      $(135-127.2)$

                      $7.8$

percentage saving=$\frac{\text{money saved}}{\text{cost of buying from Ted's Threads}}\times100$

                               $\frac{7.8}{135}\times100$

                               ≅$5.78$%

we can save $5.78$% by going with Wade's Wares

Answer 2

Answer:

44.96% saves in 5 dozen thread spool by  going with Wade’s Wares .

Step-by-step explanation:

As given

You’re ordering more thread for Blue Jeans Co.

You usually purchase from Ted’s Threads, which sells 12 thread spools for $27.

As one dozens contains 12 items .

i.e  the cost of 1 dozen of thread spool is $27 .

Thus

Cost of 5 dozen spools in Blue Jeans Co.  = 5 × Cost of one dozen thread spool.

                                                                         = 5 × 27

                                                                          = $ 135

As given

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.

Cost of 5 dozen spools in Wade’s Wares = Cost of first 2 dozen thread spool + Cost of 3 dozen thread spool

                                                                    = 2.30 + 3 × 12 × 2

                                                                   = 2.30 + 72

                                                                   = $ 74.3

Difference in the cost of two company = Cost of 5 dozen spools in Blue Jeans Co -  Cost of 5 dozen spools in Wade’s Wares .

Difference in the cost of two company = 135 -  74.3      

                                                                 = $ 60.7

$Percentage = \frac{Difference\ in\ the\ cost\ of\ two\ company\times 100}{Cost\ of\ 5\ dozen\ spools\ in\ Blue\ Jeans\ Co.}$

Putting all the values in the above

$Percentage = \frac{60.7\times 100}{135}$

$Percentage = \frac{6070}{135}$

Percentage = 44.96%

Therefore 44.96% saves in 5 dozen thread spool by  going with Wade’s Wares .