Question

Please help me with these 5 problems!!!

1)Kumiko had an average of 92 on her first three math tests. Her scores on the second and third tests were 97 and 89. What was her score on the first test?

2)Isabel doubled her recipe for chocolate chip cookies. After her brothers ate 8 cookies, she set aside half of the remaining cookies for a school party. Isabel then gave 2 dozen cookies to her neighbor. She had 12 cookies left over. How many cookies does one recipe make?

3)(picture for this one is included)

4) The two animated films with the highest box office receipts brought in a total of $775 million. If one film brought in $ 97 million more than the other, how much did the film with the highest receipts bring in?

5) Harry S. Truman was elected vice president in 1944. He died in 1972 at the age of 88. How old was he at the time he was elected?

:)

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 =
`(x+y+z)/(3)`

`92=(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.