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marta [7]
3 years ago
5

There are 420 students in kindergarten through third grade if 1/4 of the students are in first grade 20% are in the second grade

and 115 students are in the third grade how many students are in kindergarten explain
Mathematics
2 answers:
Sedbober [7]3 years ago
7 0
Let x be kindergarten students

x = 420 - [(0.25*420) + (0.2*420)+115]

x= 420 - (105 + 84 + 115)

x= 420 - 304

x= 116 kindergarten students
Oduvanchick [21]3 years ago
5 0
The answer would be around 120
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Tickets to a concert cost either $12 or $15. A
olga_2 [115]

Answer:

  • 12x +15y = 4140; x + y = 300
  • x = 120; y = 180

Step-by-step explanation:

The first equation is for receipts. Each x ticket generated $12 in receipts, so the first term needs to be 12x. Each y ticket generated $15 in receipts, so the second term needs to be 15y. U in this set of equations is the total number of tickets, said to be 300.

The equations are ...

  12x +15y = 4140; x +y = 300

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Using the second equation to write an expression for x, we have ...

  x = 300 -y

Substituting this into the first equation gives ...

  12(300 -y) +15y = 4140

  3600 +3y = 4140

  y = (4140 -3600)/3 = 180

  x = 300 -180 = 120

The number of tickets sold is ...

  $12 tickets -- 120

  $15 tickets -- 180

_____

You might want to notice that the equation we ended up with:

  4140 -12(300) = 3y

is equivalent to this "word solution." This can be done in your head; no equations required.

If all the tickets sold were $12 tickets, the revenue would be $3600. The revenue is $540 more than that. Each $15 ticket generates $3 more revenue than a $12 ticket, so to have $540 more revenue, we must have 540/3 = 180 $15 tickets.

6 0
3 years ago
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 60 p
boyakko [2]

Answer:

  • large: 40 lbs
  • small: 20 lbs

Step-by-step explanation:

A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.

Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...

  L + S = 60 . . . . . . combined weight is 60 lbs

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We can solve this by substituting for s in the second equation.

  70L +60(60 -L) = 4000

  10L = 400 . . . . . . . . . subtract 3600, simplify

  L = 40

  S = 60 -L = 20

A large box weighs 40 pounds; a small box weighs 20 pounds.

7 0
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zimovet [89]
You're looking for a common number in all the terms...6.

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daser333 [38]
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evablogger [386]

Answer:

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