Question

Christian

Four people recorded the number of minutes
they exercised today.
Determine whether each statement is true.
Mackenzie exercised for z as many minutes
as Brinley. Brinley exercised for 17 lewer
Select True or False for each statement.
minutes than Ariana. Ariana exercised for
3 times as many minutes as Seth.
Together, Ariana and Mackenzie exercised for
The equation that represents this situation is:
32 #(3z - 17) = z + (3z - 17) + 20
O True
False
20 more minutes than Brinley and Seth.
Let a represent the number of minutes
Seth exercised.
2 = 40
O True
• False
Brinley and Seth exercised for a combined 95 minutes.
True
False
Mackenzie exercised for 26 minutes.
True
O
False

Answer 1

Explanation:

Ariana and Mackenzie exercised for 20 minutes more than Brinley and Seth.

x = Seth exercise minutes

Ariana minutes = 3x

Brinley minutes = 3x - 17

Mackenzie minutes = 1/2 × (3x - 17)

so, in total we have

3x + ½(3x - 17) = x + (3x - 17) + 20

statement 1 is true.

6x + (3x - 17) = 2x + 2(3x - 17) + 40

6x + 3x - 17 = 2x + 6x - 34 + 40

9x - 17 = 8x + 6

x = 23

statement 2 is false.

Brinley and Seth exercised together for

x + 3x - 17 = 23 + 3×23 - 17 = 4×23 - 17 = 75 minutes

statement 3 is false.

Mackenzie exercised for

½(3x - 17) = ½(3×23 - 17) = ½(69 - 17) = ½×52 = 26 minutes

statement 4 is true.