kloseyq

2021-12-18

1) Ahmed and Mona are competing on a quiz app. Ahmed has 40 points already and is wining 20 points per minute. Mona has 20 points already and is wining 25 points per minute.

Write an equation that can be used to find m, the number of minutes until Mona overtakes Ahmed.

2)The campus bookstore sells graphing calculators for $17 and scientific calculators for $12. On the first day of classes 100 calculators were sold for a total of $1,550. How many of each were sold? (Solve algebraically)

Write an equation that can be used to find m, the number of minutes until Mona overtakes Ahmed.

2)The campus bookstore sells graphing calculators for $17 and scientific calculators for $12. On the first day of classes 100 calculators were sold for a total of $1,550. How many of each were sold? (Solve algebraically)

Thomas Nickerson

Beginner2021-12-19Added 32 answers

Step 1

Ahmed has 40 points already and is wining 20 points per minute.

Mona has 20 points already and is wining 25 points per minute.

after m minutes Mona overtakes Ahmed

Step 2

1) according to question

Ahmed points after m minutes$=40+20m$

Mona points after m minutes$=20+25m$

$40+20m=20+25m$

$25m-20m=40-20$

$5m=20$

$m=4$ minutes so after 4 minutes Mona ahead Ahmed

2) graphing calculator price$=\mathrm{\$}17}$

scientific calculator price$=\mathrm{\$}12}$

let graphic calculators sold$=x$

scientific calculators sold$=y$

total sold$=100$

$x+y=100$ (1)

total money earned$=\mathrm{\$}1550}$

$17x+12y=17550$ (2)

equation (2) -equation(1)*12

$(17x+12y)-(12x+12y)=1550-12\cdot 100$

$5x=1550-1200$

$5x=350$

$x=70$

$y=100-70=30$

graphic calculators sold$=70$

scientific calculators sold$=30$

Ahmed has 40 points already and is wining 20 points per minute.

Mona has 20 points already and is wining 25 points per minute.

after m minutes Mona overtakes Ahmed

Step 2

1) according to question

Ahmed points after m minutes

Mona points after m minutes

2) graphing calculator price

scientific calculator price

let graphic calculators sold

scientific calculators sold

total sold

total money earned

equation (2) -equation(1)*12

graphic calculators sold

scientific calculators sold

lenkiklisg7

Beginner2021-12-20Added 29 answers

Step 1

Given:

a) Ahmad has 40 points already and winning 20 points per minute

Mona has 30 points already and winning 25 points per minute

b) Selling price of graphing calculator

Selling price of scientific calculator

On the first day of classes 100 calculators were sold for a total of $1,550

Step 2

Solution:

a) The equation that can be used to find m, the number of minutes

For Ahmed;

Points

For Mona;

Points

To find the number of minutes until Mona overtakes Ahmed.

Let Mona overtakes Ahmed in 'x' minutes, then from equation (1) and equation (2)

Also,

Points

Putting these points in equation (1) or equation(2), then we get the minutes until Mona overtakes Ahmed.

Step 3

b) Let the number of graphic calculator were sold

And the number of scientific calculator were sold

It is given that the total number of calculators were sold

It means,

multiplying by 12 in equation(1) and the result subtract from equation(2)

Putting the value of X in equation (1)

Step 4

Answer:

a) The equation that can be used to find minutes is

For Ahmed

For Mona;

The number of minutes until Mona overtakes Ahmed

b) The number of graphic calculators were sold

The number of scientific calculators were sold

RizerMix

Skilled2021-12-28Added 437 answers

According to question
Ahmed points after m minutes =40+20m
Mona points after m minutes = 20 +25m
40 + 20m = 20+ 25m
25m - 20m = 40 -20
5m = 20
m = 4 minutes so after 4 minutes Mona ahead Ahmed
Graphing calculator price = $17
scientific calculator price = $12
let graphic calculators sold = x
scientific calculators sold = y
total sold =100
x+y=100 (1)
total money earned =$1550
17x +12y = 17550 (2)
equation (2) -equation(1)*12
(17x +12y) -(12x +12y) = 1550 - 12 * 100
5x = 1550 -1200
5x = 350
x = 70
y = 100-70 = 30
graphic calculators sold =70
scientific calculators sold =30