# hw brain teaser help

here is what the teacher has.
Kim, Rachel,Jim,and Rick finished first, second, third and fourth in a motor bike race. if there numbers were 5, 17, 1, 7, use the following clues to find out who had what # and what order they finished. * 17 said she would have placed hodher if her bike had not stalled at the start *rick finished before 7 but after rachel * 1's father said he was very proud of his daughter finished * kim finished after 5 * jim wasn't third

(1)This clue:
"* 17 said she would have placed hodher if her bike had not stalled at the start"
tells us #17 is Kim or Rachel (assuming Kim is referring to a girls name here) and #17 was not 1st.
(2)This clue:
" *rick finished before 7 but after rachel"
tells us an order Rachel, Rick, #7, but it doesn't mean sequentially necessarily.
(3)This clue
"* 1's father said he was very proud of his daughter finished *
tells us #1 is Kim or Rachel.

From (1) and (3) we know Kim and Rachel had #'s 1 and 17. Threrefore the boys had #'s 5 and 7. Since Rick is not 7 (from (2)), he's #5 and Jim is #7.

(4)This clue:
"* kim finished after 5"
tells us Kim is not 1st and #5 is not last.
(5)This clue:
"* jim wasn't third"
combined with (2) tells us Jim was last
I'll let you deduce some other conclusions. You should be able to see that neither boy was first and neither was Kim. Jim is not 3rd forces him to be last. Verify that the clues correspond to my summary.

Summarizing:
__________

Rachel 1
Rick 5
Kim 17
Jim 7

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### Algebra 2

Rick deposits \$1,000 into an investment account which earns 4% annually. Sally loans \$1,000 to a friend, and the friend agrees to pay her \$50 each year, and will return the \$1,000 after 10 years. Determine the amount of money each

2. ### mathematics

Jim began a ​121-mile bicycle trip to build up stamina for a triathlete competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 6 hours. If Jim walks at a rate of 5 miles

3. ### Economics

Jim buys only milk and cookies. a. In year 1, Jim earns \$100, milk costs \$2 per quart, and cookies cost \$4 per dozen. Draw Jim's budget constraint.

4. ### Math

how do you solve? kim's mom is 47 years old. in 5 years her mother will be 10 years older than twice what kim's age will be. how old is kim now?

Bob has a brother, Jim, who has a daughter named Bertha. Bertha's daughter, Jennifer, has a sister named Penny. Which of the following indicated the relationship between Jim and Penny? a. Jim is Penny's father b. Jim is Penny's

2. ### singapore math

Kim, Mei and yante collect stamps. Kim and Mei have 220 stamps more than Yanti. Yanti and Mei have 140 stamps more than Kim. Kim and Yanti have 500 stamps. How many stamps does Mei have?

3. ### Finance

Rick has a credit card that charges 19% interest compounded monthly. What is the true annual rate of interest for Rick's credit card?

4. ### math

jim began a 92​-mile bicycle trip to build up stamina for a triathlon competition.​ Unfortunately, his bicycle chain​ broke, so he finished the trip walking. The whole trip took 4 hours. If Jim walks at a rate of 3 miles per

1. ### language arts

Rachel's younger brother is in fourth grade. She is trying to explain to him how to do a household task. She is going to read the explanation aloud and post it on the refrigerator for him to refer to later. What kind of sentences

2. ### Chemistry

Kim and Al need to determine the actual mass of lead(II) sulfate in grams that formed when 1250.0mL of 0.0500 M lead(II) nitrate was mixed with 0.2000 kL of 0.0250 M sodium sulfate. When the experiment was completed Kim determined

3. ### Math

Kim is 7 years older than May. If three times Kim's age plus 5 times May's age is equal to 165, what are the ages of Kim and May?

4. ### math

jim began a 131 mile bicycle trip to build up stamina for a triathlete competetion.unfortunately his bicycle chain broke, so he finished the trip walking. the whole trip took 4 hours. if jim walks at a rate of 3 miles per hour and