1. let the score on 1st test be = x
Given average is = 92
2nd tests scores are = 97 (assume this as y)
3rd test score = 89 (assume this as z)
Average = [tex]\frac{x+y+z}{3}[/tex]
[tex]92=\frac{x+97+89}{3}[/tex]
[tex]276=186+x[/tex]
[tex]x=90[/tex]
Hence, 1st day score was 90.
2. Let the original recipe made x cookies
As given she doubled her recipe so 2x cookies
Her brothers ate 8 cookies, this gives 2x-8 cookies left
She gave 2 dozen or 24 cookies to the neighbor and left with 12 cookies, it becomes [tex]2x-8-24=12[/tex]
This gives [tex]2x=44[/tex]
or [tex]x=22[/tex]
Hence 1 recipe makes 22 cookies.
3. As given in the table,
Time used in total by boys = 255 minutes
Time used by girls in total = 213 minutes
Time used for school work by boys = 33 minutes
Time used by boys other than schoolwork = 255-33 = 222 minutes
Time used for school work by girls = 72 minutes
Time used by girls other than schoolwork = 213-72 = 141 minutes
How many more minutes per week do boys spend using the internet for purposes other than schoolwork then girls = 222-141 = 81 minutes
Hence, boys use 81 more minutes than girls for work other than schoolwork.
4. Total amount by two films = $775 million
Let x be the receipts of the second highest box office film.
Let x + 97 be the receipts of the highest one.
Equation becomes [tex]x+x+97=775[/tex]
[tex]2x+97=775[/tex]
[tex]2x=678[/tex]
[tex]x=339[/tex]
Hence highest receipt movie brought in [tex]339+97=436[/tex]
The film with highest receipts bought in $436 million.
5. Vice President elected in the year = 1944
Died in the year = 1972
Total time in between = [tex]1972-1944=28[/tex] years
Age at the time of death = 88
So, he was elected 28 years back and that time his age was = [tex]88-28=60[/tex]
He was elected at the age of 60 years.
