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Novay_Z [31]
3 years ago
11

Tickets to a school play are $4.50 for an adult and $3.00 for a student. If 300 tickets are sold and $1087.50 collected, how man

y tickets of each were sold
Mathematics
1 answer:
Kryger [21]3 years ago
3 0

Answer:

<h2>125 tickets for an adult</h2><h2>and 175 tickets for a student</h2>

Step-by-step explanation:

a-\text{number of the tickets for an adult}\\s-\text{number of the tickets for a student}\\\\(1)\qquad a+s=300\\(2)\qquad4.5a+3s=1087.5\\------------\\(1)\\a+s=300\qquad\text{subtstitute}\ s\ \text{from both sides}\\a=300-s\\\\\text{Put it to (2):}\\\\4.5(300-s)+3s=1087.5\qquad\text{use distributive property}\\\\(4.5)(300)+(4.5)(-s)+3s=1087.5\\\\1350-4.5s+3s=1087.5\qquad\text{subtract 1350 from both sides}\\\\-1.5s=-262.5\qquad\text{divide both sides by (-1.5)}\\\\\boxed{s=175}

\text{Put the value of}\ s\ \text{to (1):}\\\\a=300-175\\\\\boxed{a=125}

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Answer: y=-2/5x+2

Solving Steps:
2x+5y=10 - Move the variable to the right
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7 0
3 years ago
Question progress<br> Homework Progress<br> The ratio 8:2 in its simplest form is
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4:1

Step-by-step explanation:

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3 years ago
Jessica is playing a board game and uses a number cube to determine how many spaces she can move for each turn.
yulyashka [42]

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3 years ago
Carly needed to study for 5/6 of an hour for 9 days. How many hours did she study?
vovikov84 [41]

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Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Please answer this correctly without making mistakes
Monica [59]

Answer:

g=56

Step-by-step explanation:

In similar shapes, corresponding sides are always in the same ratio.

For example,

if the sides in triangle 1 were a and b, and triangle 2 had side lengths c and d, c and a had the same ratios, and b and d had the same ratios

and triangle 1 was similar to triangle 2, the ratio between the sides of the triangles would be

a/c, which is also equal to b/d

What that means is that in this situation, 8/5=g/35.

8/5=g/35

Cross multiply.

(8)*(35)=g*(5)

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4 0
3 years ago
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