Tom baked 4 batches of fairy cakes. Each batch consisted of x cakes. He put 3 cherries on top of each cake in the first batch, but couldn't resist taking off and eating 5 of them. He did the same again with the second batch, then the third, then the fourth! Meanwhile, Sarah baked 5 batches of fairy cakes, again with x cakes in each batch. She put 2 cherries on each cake and an extra two on the final one. She repeated this procedure with each of the batches. She managed to resist eating any at all! Tom and Sarah discovered that Tom's cakes had exactly the same number of cherries in total as Sarah's. Set up an equation for this.
Then:
Number of cherries on Tom's cakes = 4(3x-5)
Number of cherries on Sarah's cakes=5(2x+4)
But number of cherries is equal so:
4(3x-5)=5(2x+4)
Phew!! I think that works!! Lol!
2006-11-14 14:09:10
·
answer #1
·
answered by martina_ie 3
·
0⤊
0⤋
4( 3x - 5 ) = 5 ( 2x + 4)
12x - 20 = 10x + 20
12x - 10x = 20+20
2x = 40
x = 40 / 2
x = 20
2006-11-14 13:52:17
·
answer #2
·
answered by Muskaan 1
·
0⤊
0⤋
At the first party, they played for 6 minutes. At the second party, they played for 4/5 as long as the second party, meaning 6 is 4/5 of what? "Is" means = "Of" means times "What" means x or any other variable 6 = (4/5) times x 6 = (4/5)x 6(5/4) = (5/4)(4/5)x 30/4 = x 15/2 = x At the second party, they played for 15/2 minutes (which is 7 1/2 minutes). The second party was 1/2 as long as the third party, meaning that you have to multiply 15/2 by 2 to find the number of minutes they played at the third party. 15/2 times 2 = 15 At the third party, they played for 15 minutes. Answer: 15 minutes
2016-03-28 05:58:42
·
answer #3
·
answered by Anonymous
·
0⤊
0⤋
4(3x-5) = 5(2x+4)?
12x-20 = 10x + 20
6x-10 = 5x+10
6x-5x=20
X=20
Did this helped you? if not say not and explain the your problem as clearly as possible
2006-11-14 13:57:28
·
answer #4
·
answered by Kewl guy 3
·
0⤊
0⤋
Annie and her little brother, Tom, collected a lot of Halloween candy. They both prefer chocolate bars over other types of candy. Both of them placed their chocolate bars into plastic pumpkins, and all of the pumpkins held exactly the same number of bars. Annie has three full pumpkins and Tom has two full pumpkins. Annie had five bars left over after filling her pumpkins, so she ate one and gave the others to Tom.
Four times the number of chocolate bars that Annie has is equal to five times the number of chocolate bars that Tom has.
How many chocolate bars are in each pumpkin?
2006-11-14 18:26:32
·
answer #5
·
answered by Irma R 2
·
0⤊
0⤋
ok here u go 8(6x-5)=5(4x+8)
2006-11-14 13:49:29
·
answer #6
·
answered by Anonymous
·
0⤊
0⤋