Question

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $7500 to rent trucks plus an additional fee of $150.25 for each ton of sugar. The second company charges $7143 to rent trucks plus an additional fee of $175.75 for each ton of sugar.​

Answer 1

14 tons of sugar

$9603.5

Explanation:

For what amount of sugar do the two companies charge the same?

What is the cost when the two companies charge the same?

Let

x = ton of sugar

Company A:

7500 + 150.25x

Company B:

7143 + 175.75x

1. Equate company A and company B

7500 + 150.25x = 7143 + 175.75x

7500 - 7143 = 175.75x - 150.25x

357 = 25.50x

x = 357/25.50

x = 14 tons of sugar

2. Cost when both companies charge the same

Company B:

7143 + 175.75x

= 7143 + 175.75(14)

= 7143 + 2460.5

= 9603.5

Company B = $9603.5

Company A:

7500 + 150.25x

= 7500 + 150.25(14)

= 7500 + 2103.5

= 9603.5

Company A = $9603.5