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svetlana [45]
3 years ago
6

I don't get this problem. Lila decided to make kore baked goods for the bake sale. She used 1 / 8 lb less flour to make bread th

an to make cookies. She used 1/4 lb more flour to make cookies than to make brownies. If she used 1/2 lb of flour to make bread , how much flour did she use to make the brownies?
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0
Start by taking the information we know, and write equations to represent the realationships:

1) "1/8 lbs less flour to make bread than to make cookies"         
     b=c-\frac{1}{8}

2) "1/4 lb more flour to make cookies than to make brownies:
     c=w+\frac{1}{4}

3) "she used 1/2 lb of flour ro make bread"
    b = \frac{1}{2}

From here you can solve for w using back substitution. 
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How many different ways can you make 82 cents using current u.s. currency
andrew11 [14]
 <span>You can probably just work it out. 

You need non-negative integer solutions to p+5n+10d+25q = 82. 

If p = leftovers, then you simply need 5n + 10d + 25q ≤ 80. 


So this is the same as n + 2d + 5q ≤ 16 

So now you simply have to "crank out" the cases. 

Case q=0 [ n + 2d ≤ 16 ] 

Case (q=0,d=0) → n = 0 through 16 [17 possibilities] 
Case (q=0,d=1) → n = 0 through 14 [15 possibilities] 
... 
Case (q=0,d=7) → n = 0 through 2 [3 possibilities] 
Case (q=0,d=8) → n = 0 [1 possibility] 

Total from q=0 case: 1 + 3 + ... + 15 + 17 = 81 

Case q=1 [ n + 2d ≤ 11 ] 
Case (q=1,d=0) → n = 0 through 11 [12] 
Case (q=1,d=1) → n = 0 through 9 [10] 
... 
Case (q=1,d=5) → n = 0 through 1 [2] 

Total from q=1 case: 2 + 4 + ... + 10 + 12 = 42 

Case q=2 [ n + 2 ≤ 6 ] 
Case (q=2,d=0) → n = 0 through 6 [7] 
Case (q=2,d=1) → n = 0 through 4 [5] 
Case (q=2,d=2) → n = 0 through 2 [3] 
Case (q=2,d=3) → n = 0 [1] 

Total from case q=2: 1 + 3 + 5 + 7 = 16 

Case q=3 [ n + 2d ≤ 1 ] 
Here d must be 0, so there is only the case: 
Case (q=3,d=0) → n = 0 through 1 [2] 

So the case q=3 only has 2. 

Grand total: 2 + 16 + 42 + 81 = 141 </span>
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3 years ago
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14:25
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Answer:

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Step-by-step explanation:

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Mutually exclusive means there is now way the two events can happen at the same time. This is the only option where it can either be one or the other

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Answer:

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Step-by-step explanation:

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