Mackenzie

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges

$6197

to rent trucks plus an additional fee of

$225.75

for each ton of sugar. The second company charges

$6500

to rent trucks plus an additional fee of

$200.50

for each ton of sugar.

For what amount of sugar do the two companies charge the same? ____ (tons)

What is the cost when the two companies charge the same? _____ (dollars)

A store is having a sale on jelly beans and trail mix. For

9

pounds of jelly beans and

7

pounds of trail mix, the total cost is

$53

. For

3

pounds of jelly beans and

5

pounds of trail mix, the total cost is

$25

. Find the cost for each pound of jelly beans and each pound of trail mix.

Cost for each pound of jelly beans: ______ (dollars)

Cost for each pound of trail mix: ______ (dollars)

A phone company offers two monthly plans. Plan A costs

$9

plus an additional

$0.16

for each minute of calls. Plan B costs

$15

plus an additional

$0.14

for each minute of calls.

For what amount of calling do the two plans cost the same? ________(minutes)

What is the cost when the two plans cost the same? _______ (dollars)

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of

8

large boxes and

4

small boxes has a total weight of

173

kilograms. A delivery of

3

large boxes and

2

small boxes has a total weight of

68

kilograms. How much does each type of box weigh?

Weight of each large box:___ (Kilograms)

Weight of each small box: ___ (Kilograms)

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 6 hours of burning, a candle has a height of 23 centimeters. After 24 hours of burning, its height is 14 centimeters. What is the height of the candle after 13 hours?

The sum of two numbers is less than or equal to

17

. The second number is

5

less than the first. What are the possible values for the first of the two numbers?

In your answer, denote the first number by

x

.