Mrs. Hart spent 3/5 of her money on a bag and 1/6 on a belt. She had $14 left. How much money did she have initially?

$60

Step-by-step explanation:

Let x represent the initial money she had

She spent 3/5 of her money on a bag, That is;

3/5 of x

= 3/5 * x

and 1/6 of x on a belt

Therefore, the total money she spent is

3/5 * x + 1/6 * x

She had $14 left after all her purchases

To find how much she had left, sum up all her spending and what she has left

3/5 * x + 1/6 * x + 14 = x

collect like terms

3/5 x + 1/6 x - x = -14

23/30 x -x = -14

-7/30x = -14

x = $60

47 - 90 = 43

43 - 180 = x

x = 137

hello,

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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