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s344n2d4d5 [400]
4 years ago
11

Liam's is planning a banquet for his parents anniversary with a budget of $3,375 at a hotel ballroom. The venue can hold no more

than 125 guests. The cost per adult is $45 and the cost per child is $15. What is the possible number of guests that could attend the banquet within the budget?
Mathematics
2 answers:
DerKrebs [107]4 years ago
8 0
With 3375 being there budget they can have 125 people their maximum amount by have 50 adults and 75 kids
Romashka [77]4 years ago
5 0

Answer:

50 adults could attend, along with 75 children, for $3,375.

Step-by-step explanation:

Let a represent the number of adult attendees and c the number of children.

Then a + c = 125, and

($45/adult)a + ($15/child)c = $3,375.

Let's solve this using the elimination method (adding and subtracting):

Multiplying the first equation by -45 results in -45a - 45c = -5625:

Then we have

45a + 15c = 3375

-45a  - 45c = -5625

and combining these two equations results in the single equation

            -30c = -2250.  This is easily solved for c:  c = 75.

Since we already have a formula for a, we can find a given that c = 75:

a = 125 - 75 = 50

50 adults could attend, along with 75 children, for $3,375.

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Read 2 more answers
1- the diameter of a CD is 24 cm nearest to cm .find its upper and lower bound.
Tanya [424]

Answer:

1) Lower bound = 23.5 cm

Upper bound = 24.5 cm

2) I disagree

3) 7.88

4) 2.32

5) Ahmed = 60 kg

Jasim = 20 kg

Dalal = 100 kg

Step-by-step explanation:

1) diameter = 24 cm was rounded up to the nearest cm.

Now, usually, we round up 0.5 to the next whole number. This means that, the actual diameter is;

23.5 ≤ D < 24.5

Thus;

Lower bound = 23.5 cm

Upper bound = 24.5 cm

2) If you weigh 57g,converting to kg is 0.57 kg.

Now, this does not fall in between 56.5kg and 57.5kg given.

Thus, I disagree that your weight could be anything between 56.5kg and 57.5kg .

3) 7.875 approximated to the nearest two decimal place = 7.88

4) 2.3242900000 to the nearest 2 decimal place = 2.32

5) 180 kd shared between ahmed ,jasim and Dalal in the ratio of 3:1:5.

Total part of ratio = 3 + 1 + 5 = 9

Their respective shares are;

Ahmed = 3/9 × 180 = 60 kg

Jasim = 1/9 × 180 = 20 kg

Dalal = 5/9 × 180 = 100 kg

4 0
3 years ago
Four times the quantity x plus two is equal to ten
Degger [83]

Answer: 4x+2=10

Step-by-step explanation:

5 0
4 years ago
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