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The answer to question 34:

Let 'x' = pounds of gravel. The ratio of mulch to gravel is given 2 1/4 | 1 1/3. Which equals 9/4 | 4/3 = 27/16.



So the total gravel and much is equal to x + 27/16x = 172  


Solving for 'x'



43/16 x = 172    


x = 172 (16/43) = 64 pounds of gravel           Mulch = 27/16x = 64 (27/16)= 108 pounds

The answer to question 35:

A.) 1,080 beats per minute at rest and 1,500 beats per minute while running.

B.) 4,500 (while running) - 3,240 (at rest) = 1,260 more beats while running than at rest.

Hi Nicole,


Question 34:

2 1/4 pounds of mulch for every 1 1/3 pounds of gravel.

Gravel - 172 / 1 1/3 = 129

Mulch - 172 / 2 1/4 = 76.44444...


Question 35:

a. 18 beats in 15 seconds.

b. 25 beats in 10 seconds.

Part A:

Find beats per minute:

1 minute = 60 seconds

60 / 15 = 4

18 x 4 = 72

Answer - 72 beats per minute (Resting)

150 beats per minute (Running)


Part B:

72 times per minute resting

Find 25 times in 10 seconds in minutes,

1 minute = 60 seconds

60 / 10 = 6

25 x 6 = 150

So while running the friend has 150 beats per minute.

Find the number of beats in 3 minutes for both:

Resting:

72 x 3 = 216

216 beats in 3 minutes

Running:

150 x 3 = 450

450 beats in 3 minutes

Subtract:

450 - 216 = 234

Answer - Your friend's heart beat is 234 beats more in 3 minutes than at rest.


Hope This Helps!

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