Question

Trinh is catering a wedding that 112 people will attend. She is making two cakes, a chocolate cake and a carrot cake. of the guests will be served chocolate cake and the rest will receive carrot cake. How many guests will get carrot cake?

Answer 1

You're missing a number in there. How many guests got chocolate?

Answer 2

5/8

Answer 3

alright, so 5/8*112 = nb of people getting chocolate = 70 people
the number of people getting carrot : 112-70 = 42 people

Answer 4

thank you so much

Answer 5

Eddie is fishing. He has 1 1/4 ounces of weight on his line, but his bait isn’t getting to the bottom of the lake. Eddie adds another 1/2 ounce weight to the line, but it's still not enough. Finally, Eddie adds a 3/4 ounce weight and the bait sinks. How much weight does Eddie now have on his line?

Answer 6

You can try seeing it this way : in every group of 8 people, 5 will have gotten chocolate. First thing you do is find how many groups of 8 people you have (14 in this case). Then, in those 14 groups, you have 5 people getting chocolate, so 14 groups * 5people per group, that gives you 70

Answer 7

ok, so you have 1 + 1/4 as initial weight
1 + 1/4 + 1/2 + 3/4 is the total weight at the end. you have to put everything on the same denominator to add these terms :
1 = 4/4
1/2 = 2/4
so your equation is now
4/4+1/4+2/4+3/4 = 10/4
10/4 is also 2 and a half ounces (depending on how your teacher wants the answer)

Answer 8

Sam bought 2 1/4 pounds of Swiss cheese and 1 1/2 pounds of cheddar at the deli. How many pounds of cheese did Sam buy altogether?
so do i just add them up?

Answer 9

exactly, and how will you proceed with doing that?

Answer 10

2 1/4 = 9/4?
1 1/2= 3/2
add and get 12/6

Answer 11

or 12/4

Answer 12

not exactly. I see what you did, and the only problem is you don't have the same denominator. Let's use coins instead, that may make it simpler to explain. So you have a quarter and 5 dimes in your pocket (basically, ¢50). Alright, so you have this
1/4 + 1/2 (the 1/2 is for the 50¢ which is half a dollar)
so you know that you have 75¢, right? 75¢ is also what you would have had you 3 quarters, so we can write the following thing
1/4 + 1/2 = 3/4
Is it clear so far?

Answer 13

yea i kind of understand it

Answer 14

let's say you remove that quarter from your pocket. You know have only 5 dimes, which is worth 50¢. 50¢ is half a dollar. 50¢ is also the worth of 2 quarters
New equation is :
1/2 = 2/4
Now, aside from the logic we used here to explain it, here's how you can work it out mathematically.
1/2 * 1 = 1/2
1 can be written in a ton of different fractions. it can be 2/2 (2 halves make a whole), 3/3, 4/4, 80/80, basically anything where the top and bottom part of the fraction is the same. So lemme rewrite this diffrently :
1/2* 2/2 = 2/4
ok, so, what does multiplying by 2/2 actually do for you? it's the same thing as writing this :