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Pani-rosa [81]
3 years ago
15

David is having a cookout. Hot dogs and buns are sold based on the following quantities per package.

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0

Answer:  Choice C)  David should buy 5 packages of buns and 6 packages of hot dogs.

========================================================

Explanation:

Focus on the hot dog buns for now

1 package = 12 hot dog buns

2 packages = 24 hot dog buns  (multiply both sides by 2)

3 packages = 36 hot dog buns (multiply original equation by 3)

We can see that the multiples of 12 are being listed. So we have

12, 24, 36, 48, 60, 72, 84, ...

as the possible number of hot dog buns we could get if we buy 1,2,3... packages.

The possible number of hot dogs we can get are

10, 20, 30, 40, 50, 60, 70, 80, ...

which are multiples of 10. Simply add 10 to each item to get the next one.

--------------------------------

Considering these two sets

12, 24, 36, 48, 60, 72, 84, ...

10, 20, 30, 40, 50, 60, 70, 80, ...

what is the lowest common multiple? That would be 60 since it is found in both lists and it is the smallest in common.

The LCM of 12 and 10 is 60.

If he wanted 60 hot dog buns, then 60/12 = 5 packages of buns is what he needs.

If he wanted 60 hot dogs, then he needs 60/10 = 6 packages of hot dogs.

Therefore, David should buy 5 packages of buns and 6 packages of hot dogs. The answer is choice C.

--------------------------------

Side note: a different way to find the LCM is to multiply 10 and 12 to get 10*12 = 120. Then we divide by the GCF 2 getting 120/2 = 60.

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Phantasy [73]

14 of the machine that cost $150 was sold and 8 of the machine that cost $225 was sold.

To solve this problem, we would write a system of linear equations.

  • Let x represent the machine that cost $150
  • Let y represent the machine that cost $225

We can proceed to write our equations now.

x + y = 22...equation(i)\\150x + 225y = 3900...equation(ii)

From equation 1

x+ y = 22\\x = 22 - y...equation (iii)

<h3>The Value of Y</h3>

put equation (iii) into (ii)

150x + 225y =3900\\x = 22-y\\150(22-y)+225y=3900\\3300-150y+225y=3900\\3300+75y=3900\\75y=3900-3300\\75y=600\\75y/75=600/75\\y=8

<h3>The Value of X</h3>

Since we know the number of y, we can simply substitute it into equation (i) and solve.

x + y = 22\\x + 8 = 22\\x = 22-8\\x = 14

From the calculations above, 14 of the machine that cost $150 was sold and 8 of the machine that cost $255 was sold.

Learn more about system of equations here;

brainly.com/question/13729904

3 0
3 years ago
Factor strings for 36
Marina CMI [18]
Factor strings for 36:

6 x 6
2 x 18
3 x 12
4 x 9
2 x 2 x 3 x 3
2 x 2 x 9
4 x 3 x 3
6 x 2 x 3

Hope that helped :D
4 0
3 years ago
Read 2 more answers
Tickets to a football final are selling well. On Thursday, 47 of the tickets are sold. On Friday, 14 of the tickets are sold. Wh
lbvjy [14]

The question seems incomplete ; as the total number of tickets to be sold isn't given.

Answer:

61 / X

Step-by-step explanation:

Let's take the total Number of tickets to be sold as : X

Number of tickets sold on Thursday = 47

Number sold on Friday = 14

Fraction of tickets available for sale on Saturday :

(Total number of tickets already sold) / Total number of tickets to be sold

(Thursday + Friday sales) / total number of tickets to be sold

Fraction available for sale on Saturday = (47+14) / X

Fraction available for sale on Saturday = 61 / X

Kindly put value of x = total number of tickets available for sale to get the exact fraction.

6 0
3 years ago
Andy made 7 baskets during a basketball game each basket was worth 2 or 3 points how many different numbers could represent the
Phantasy [73]

Answer:

2+3+2+3+2+3+2=17 because each was worth 2 or 3

5 0
2 years ago
3. Scatter plots are used to look for a pattern of association, or trend, between
Marina86 [1]
I would say b because its 2 or more points on a graph otherwise its just a point
4 0
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