Please and thank you guys!
1. Kevin, Dustin and Mike collect baseball cards.
- Together Dustin and Kevin have 81 cards.
- If Dustin & Mike combine their cards, they would total 96.
- The sum of Kevin's and Mike's cards is 93.
a. How many cards does each boy have
b. The boys want to store their cards in albums. The pages hold 9 cards each. How many pages will each boy need to hold his current collection.
HOW DID YOU FIND THE ANSWER?
2. Mathland High help a festival to raise money for a local charity. One of the most popular events was a dunking tank where students had a chance to dunk teachers. When Mr. B went in the booth, four students each tried to dunk him. Each one took a different number of throws before eventually hitting the target and sending Mr. B plunging into the water.
- Jorge took 1 less than twice as many throws as Shauna did
- Shauna took twice as many as Kenya did.
- Toni took two less than Jorge
-The average # of throws for the four students was 4.5. How many throws did each student take?
Jorge_____, Shauna______, Toni______, Kenya______.
THANK YOU SOO MUCH.
- 10 PTS.
Answers & Comments
Verified answer
Kevin = K, Dustin = D, Mike = M
The problem tell you that
(1) D + K = 81
(2) D + M = 96
(3)K + M = 93
Using these equations, rearranging equation (1) for D gives D = 81 - K and eq. (2) for D gives 96 - M
From this, you know that D = 81 - K = 96 - M. Simplifying this gives. M = 15 + K. In English this means that Mike has 15 more cards than Kevin. You can use this equation to substitute in for eq (3) giving this. K + (15 + K) = 93. Solving for K gives you Kevin's cards. = 39. Solving for the other guys you find that Dustin has 42 cards and Mike has 54 cards.
To solve the case part. Do simple division on the total number of cards.
For problem 2, there might not be a whole number answer based on a first glance.
1. d + k = 81
d + m = 96
k + m = 93
If you subtract the third equation from the second, you get d - k = 3; If you add that to the first equation, you get 2d = 84; d = 42. Everything else solves itself from there.
For part b, you just need to count remainders as a page.