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Bogdan [553]
3 years ago
14

The basketball boosters are selling school t-shirts for 20 dollars and pants for 45 dollars. Last week they sold 100 items and c

ollected 2600 in sales. How much of each item did he sell?
Mathematics
1 answer:
lana66690 [7]3 years ago
3 0

He sold 76 shirts and 24 pants.

Step-by-step explanation:

Given,

Cost of one t-shirt = $20

Cost of one pants = $45

Total items sold = 100

Total sales = 2600

Let,

x be the number of t-shirts

y be the number of pants

According to given statement;

x+y=100    Eqn 1

20x+45y=2600   Eqn 2

Multiplying Eqn 1 by 20

20(x+y=100)\\20x+20y=2000\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(20x+45y)-(20x+20y)=2600-2000\\20x+45y-20x-20y=600\\25y=600

Dividing both sides by 25

\frac{25y}{25}=\frac{600}{25}\\y=24

Putting in Eqn 1

x+24=100\\x=100-24\\x=76

He sold 76 shirts and 24 pants.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/289820
  • brainly.com/question/2826639

#LearnwithBrainly

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Operations
Charra [1.4K]

Answer:

More Than

Step-by-step explanation:

According to the given statement:

This year the club earned $20  more than twice what it earned  last year. Let x represent the amount  raised last year.

The two words in this problem which tell us about the operation are "More Than"

This year club earned $20 more than than twice it earned last year. This means, to find the earnings of this year, double the earnings of previous year and add 20 to them.

Since, x represents the earnings of last year, we can represent the earnings of this year as:

Twice of x + 20

2x + 20

5 0
3 years ago
You have a land-line telephone that costs $25.95/month plus a utilities tax of 4.5%. How much will you pay for your telephone us
dalvyx [7]

Answer

C) 325.41

Step by step explanation

The land-line telephone costs =$25.95

Utilities tax percentage = 4.5% = 4.5/100 = 0.045

Utility tax for amount $25.95 = 25.95*0.045

Utility tax = $1.17

The amount of telephone bill with tax = $25.95 + $1.17

= $27.12

There are 12 months in a year.

Telephone bill for a year = $27.12 * 12

= $325.44

Therefore, the nearest amount $325.41

You need to pay $325.41 as telephone bill for a year.

Thank you.

5 0
4 years ago
Read 2 more answers
The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased.
jeka94

Answer:

$ 110

Step-by-step explanation:

The points on the graph are:

(0, 700), (1, 590), (2, 480), (3, 370), (4, 260), (5, 150), (6, 40)

Since, the x-axis represents the number of desks purchased and y-axis represent the amount left in the fund, the first point in the above pairs represent the number of desks purchased and second point represents the amount left in the funds after purchasing that many desks.

The first pair: (0, 700)

This shows when no desk is purchased the amount in the college fund is $ 700.

The second pair: (1, 590)

This shows when 1 desk is purchased, the amount in the college fund is reduced to $ 590.

So, the decrease in the desk fund after purchasing 1 desk = $700 - $590 = $ 110

Any two pairs from the given ordered points can be used to find this number, the result will be the same in all cases.

So, for each new desk that is purchased, the amount of money left in the school’s desk fund decreased by $ 110.

7 0
3 years ago
Read 2 more answers
Please answer question three and four if you can :)<br> Show full working out ty;)
nikklg [1K]

Step-by-step explanation:

3

Let D be the mid point of side BC, [B(2, - 1), C(5, 2)].

Therefore, by mid-point formula:

D = ( \frac{2 + 5}{2},  \:  \:  \frac{ - 1 + 2}{2} ) = ( \frac{7}{2}, \:  \:  \frac{ 1}{2} ) \\ \therefore D= (3.5, \:  \: 0.5) \\  \& \: A=(-1,\:\:4)...(given) \\\\  now \: by \: distance \: formula \\  \\ Length  \: of \:  segment  \: AD \\  =  \sqrt{( - 1 - 3.5)^{2}  +  {(4 - 0.5)}^{2} }  \\ =  \sqrt{(4.5)^{2}  +  {(3.5)}^{2} }  \\ =  \sqrt{20.25 + 12.25 }  \\  =  \sqrt{32.5}  \\    \red{ \boxed{\therefore Length  \: of \:  segment  \: AD  = 5.7 \: units}}

4 (a)

Equation of line AB[A(2, 1), B(-2, - 11)] in two point form is given as:

\frac{y-y_1}{y_1-y_2} =\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-1}{1-(-11)} =\frac{x-2}{2 - (-2) } \\\\\therefore \frac{y-1}{1+11} =\frac{x-2}{2 +2} \\\\\therefore \frac{y-1}{12} =\frac{x-2}{4} \\\\\therefore \frac{y-1}{3} =\frac{x-2}{1} \\\\\therefore y-1= 3(x - 2)\\\\\therefore y= 3x - 6+1\\\\\therefore y= 3x - 5\\\\ \huge \purple {\boxed {\therefore 3x - y-5=0}} \\

is the equation of line AB.

Now we have to check whether C(4, 7) lie on line AB or not.

Let us substitute x = 4 & y = 7 on the Left hand side of equation of line AB and if it gives us 0, then C lies on the line.

LHS = 3x - y-5\\=3\times 4-7-5\\= 12-12\\=0\\= RHS

Hence, point C (4, 7) lie on the straight line AB.

4(b)

Like we did in 4(a), first find the equation of line AB and then substitute the coordinates of point C in equation and if they satisfy the equation, then all the three points lie on the straight line.

4 0
4 years ago
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Katarina [22]

Answer: Depends which one you need more.

Step-by-step explanation:

8 0
3 years ago
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