tim found two suppliers for his t - shirt business. one offers 50 t - shirts for $175 and the other offers…

tim found two suppliers for his t - shirt business. one offers 50 t - shirts for $175 and the other offers 125 t - shirts for $400. how much will tim pay for 500 t - shirts if he buys from the supplier with the lower price?\n$142.86\n$156.25\n$1,600.00\n$1,750.00

tim found two suppliers for his t - shirt business. one offers 50 t - shirts for $175 and the other offers 125 t - shirts for $400. how much will tim pay for 500 t - shirts if he buys from the supplier with the lower price?\n$142.86\n$156.25\n$1,600.00\n$1,750.00

Answer

Explanation:

Step1: Calculate unit - price of first supplier

The first supplier offers 50 T - shirts for $175. The unit - price $u_1$ is calculated by dividing the total price by the number of T - shirts. So, $u_1=\frac{175}{50}=3.5$ dollars per T - shirt.

Step2: Calculate unit - price of second supplier

The second supplier offers 125 T - shirts for $400. The unit - price $u_2$ is $\frac{400}{125}=3.2$ dollars per T - shirt.

Step3: Determine the cheaper supplier

Since $u_2 = 3.2<u_1=3.5$, the second supplier has the lower price.

Step4: Calculate the cost for 500 T - shirts

If the unit - price of the cheaper supplier is $u = 3.2$ dollars per T - shirt, then the cost $C$ for 500 T - shirts is $C=3.2\times500 = 1600$ dollars.

Answer:

$1,600.00$