Question

Please help me with these 5 problems!!!

Answer 1

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 = $\frac{x+y+z}{3}$

$92=\frac{x+97+89}{3}$

$276=186+x$

$x=90$

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 $2x-8-24=12$

This gives $2x=44$

or $x=22$

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 $x+x+97=775$

$2x+97=775$

$2x=678$

$x=339$

Hence highest receipt movie brought in $339+97=436$

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  = $1972-1944=28$ years

Age at the time of death = 88

So, he was  elected 28 years back and that time his age was = $88-28=60$

He was elected at the age of 60 years.