The total number of stickers the 2 children had was 192 stickers.
Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.
x + y = z
They shared in the ratio of 5:3, hence:
x = (5/8)z
Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.
(1/3)x = (1/3)(5/8)z = (5/24)z
y + (1/3)x = (2/3)x + 32
Solving equation 1, 2 and 3 gives:
x = 120, y = 72, z = 192
The total number of stickers the 2 children had was 192 stickers.
Find out more on equation at: brainly.com/question/13763238
Step-by-step explanation:
y = 0.6 x -75
201=0.6x-75
0.6x=276
x= 276/.6
=460
So, travelled for 460 minutes.
The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .
<u>Step-by-step explanation:</u>
Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:
where 
are athletes
⇒ 
⇒ 
⇒ 
⇒ 
, where m is average time of the 20 athletes who did not qualify for the final.
⇒ 
⇒ 
⇒ 
∴ The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .
