Alex bought a total of 65 more raffle tickets than Juan. Together they bought 343 raffle tickets. How many raffle tickets did each download?

Juan bought 139 tickets and Alex bought 204.

Step-by-step explanation:

Suppose Juan bought a total of tickets. Then Alex bought 65 more, which is . The sum of both totals is , but we are also given that this is equal to 343. So , and as such , so . Therefore, Juan bought 139 tickets and Alex bought 65 more, which is 204.

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: