Gerry earns $0.60 for every canned drink he sells. He earns an extra bonus of $5 for every 20 cans he sells. How many cans does he sell if he earns $53.40?
Kevin and Janet had 480 books in total. After Kevin gave 1/9 of his books to Janet, they had an equal number of books. How many books did Kevin have at first?
There were 99 beads in Box A and Box B. 2/3 of the beads in Box A were red and the rest were blue. 3/5 of the beads in Box B were red and the rest were blue. The number of blue beads in Box A and Box B was the same. How many red beads were there altogether?
Here is how I cam up with the answer for your math problem. First you take the .60 and multiply it by 20. Which is 12. Now he gets the 5 dollar bonus which brings it to 17. Now I multiplied the 17 by 2. Which is 34 dollars and 40 cans. So now I go back and see that 20 cans gets me 17 dollars so I add 20 more cans for a total of 51 dollars. Now all I did after that was multiple .6 by a number till I figured out that 4 x .6 was 2.40
So you need 64 cans to make $53.40
To solve the first problem, we need to find out how many cans Gerry sold. Let's break down the information given:
- Gerry earns $0.60 for every canned drink he sells.
- He earns an extra bonus of $5 for every 20 cans he sells.
- He earns a total of $53.40.
First, let's find out how much Gerry earned from selling canned drinks only. We can do this by dividing his total earnings ($53.40) by the amount he earns per can ($0.60):
$53.40 / $0.60 = 89 cans
So, Gerry sold 89 cans to earn $53.40.
Next, let's determine how many bonuses Gerry received. Since he earns a $5 bonus for every 20 cans sold, we divide the total number of cans sold (89) by 20 and multiply the result by 5:
(89 cans / 20 cans) * $5 = $22.25
So, Gerry earned an additional $22.25 in bonuses.
To sum up, Gerry earned $53.40 from selling the canned drinks and $22.25 in bonuses, resulting in earnings of $53.40 + $22.25 = $75.65.
Now, let's subtract the bonuses from the total earnings to find out how much he earned from selling just the canned drinks:
$75.65 - $22.25 = $53.40
Therefore, Gerry sold 89 cans to earn $53.40.
Moving on to the second problem:
Let's assume Kevin had x books at first. We know that Janet received 1/9 of Kevin's books, so she received (1/9) * x books.
After Kevin gave Janet 1/9 of his books, they had an equal number of books. This means Kevin kept (8/9) of his books, which is equal to Janet's share.
So we have the equation: (8/9) * x = (1/9) * x
Now, let's solve for x:
(8/9)x = (1/9)x
8x = x
7x = 0
The only way for 7x to equal zero is if x is also zero. However, since they had a total of 480 books, x cannot be zero. Therefore, there must be a mistake in the problem statement or the given information.
Finally, let's tackle the third problem:
Let's assume the number of blue beads in Box A and Box B is B.
We know that 2/3 of the beads in Box A are red, which means 1/3 of the beads are blue.
Therefore, the number of blue beads in Box A is 1/3 * 99 = 33.
We also know that 3/5 of the beads in Box B are red, which means 2/5 of the beads are blue.
Therefore, the number of blue beads in Box B is 2/5 * 99 = 39.6, which we can round down to 39.
Adding the number of blue beads in Box A and Box B, we get a total of 33 + 39 = 72 blue beads.
Now, let's calculate the number of red beads.
We know that Box A has 99 beads in total, and 2/3 of them are red, which means 1/3 of them are blue. Therefore, the number of red beads in Box A is 2/3 * 99 = 66.
We also know that Box B has 99 beads in total, and 3/5 of them are red, which means 2/5 of them are blue. Therefore, the number of red beads in Box B is 3/5 * 99 = 59.4, which we can round down to 59.
Adding the number of red beads in Box A and Box B, we get a total of 66 + 59 = 125 red beads.
Therefore, there are a total of 125 red beads.