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Aloiza [94]
3 years ago
5

. Three types of shirts sold at a store cost $9.00, $11.00, and $12.50. One day, the store sells a total of 23 shirts and makes

$243 on the sales. Twice as many shirts were sold for $12.50 than were sold for $11.00. If x represents $9.00 shirts, y represents $11.00 shirts and z represents $12.50 shirts, how many of each type of shirt were sold?
Write a system of equations to represent this situation and then solve the system.


There are 2 parts to this question.


#1 - Write the system of 3 equations.


#2 - write the solutions to the system.
Mathematics
1 answer:
lbvjy [14]3 years ago
4 0

Answer:

X + 3y = 23

9x + 36y = 243

11 shirts sold at $9.0 per shirt, 4 shirts sold at $11 per shirt and 8 shirts sold at $12.5 per shirt

Step-by-step explanation:

-----Since we are told to assume that the number of shirts sold for $9.00 each is x, that of $11.00 is y and also that of $12.50 is z.

9x + 11y + 12.5z = 243

9x + 11y + 12.5(2y) = 243

9x + 36y = 243_______ equation 1

----- The statement also read that One day, the store sells a total of 23 shirts and makes $243 on the sales. TWICE AS MANY SHIRTS WERE SOLD FOR $12.50 THAN WERE SOLD FOR $11.00

Z = 2y

x + y + z = 23

X + y + 2y = 23

X + 3y = 23_____ equation 2

Now multiply the above by 9 to have this equation's "x" sharing the same coefficient with that of equation 1

9x + 27 = 207 will be the new one___equation 3

-----Subtract equation 3 from 1 and we have

9x + 36y = 243____ equation 1

9x + 27y = 207____ equation 3

9y = 36

Y = 4

-----Substitute y = 4 in equation 2

X + 3y = 23

X + 4(3) = 23

X + 12 = 23

X = 23 - 12

X = 11

-----Remember that x + y + z = 23

11 + 4 + z = 23

15 + z = 23

Z = 23 - 15

Z = 8.

So therefore, x =11 shirts, y = 4 shirts and z = 8 shirts

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I do not understand this at all, can someone please help me with the steps in each question
Mandarinka [93]

Answer:

285 min

275 min

chi

tie

Step-by-step explanation:

swim - 1.5 km

bicycle ride - 40 km

run - 10 km

1) Alexandra

swim time = distance / velocity = 1.5 / 5 = 0.3 hr = 18 min

transition 1 time = 4 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 3 min

run time = distance / velocity = 10 / 6 = 1.6666667 hr = 100 min

so total time to complete the triathlon is

= 18 + 4 +160 + 3 +100

= 285 min = 4.75 hrs

2) Chi

swim time = distance / velocity = 1.5 / 6 = 0.25 hr = 15 min

transition 1 time = 5 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 5 min

run time = distance / velocity = 10 / 7.5 = 1.3333333 hr = 80 min

got flat tire that took 10 min to fix

so total time to complete the triathlon is

= 15 + 5 + 160 + 5 + 80 + 10

= 275 min

3) Alexandra won the race by 10 min

4)even though chi got flat tire , chi still won the race by 10 min,

if it took 20min to fix flat tire both their times would be 285 min and it would have been a tie.

6 0
3 years ago
Kyle is renting a jet ski for the day. Below are his two options.
Ira Lisetskai [31]

Hi Lawrence!

---------------------------------------------------

We Know:

Powersports Plus: $30 an hour plus a non-refundable deposit of $50.

Sun & Surf: $20 an hour plus a non-refundable deposit of $80.

---------------------------------------------------

Equation:

x = per hour

y = total

Powersports: 30x + 50 = y

Sun and Surf: 20x + 80 = y

---------------------------------------------------

Solution: (Add the deposit then start adding hourly costs)

Powersports: 80, 110, 140

Sun and Surf: 100, 120, 140

---------------------------------------------------

Answer: After <u>3 hours</u> both companies will cost the same amount of money.

---------------------------------------------------

Hope This Helps :)

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3 years ago
Convert a mark of 72 out of 120 to a mark out of 300
Semmy [17]

Answer:

180 out of 300

Step-by-step explanation:

Basically,

300÷120=2.5

Thereof,

72×2.5=180.

<em>Hope this helps!</em>

<em>tag </em><em>brainliest</em><em> </em><em>please.</em><em>.</em><em>.</em>

5 0
2 years ago
What is the example of 897 * 39+(34*964)
Verizon [17]

Answer:

a_n=a_1+(n-1)d

Step-by-step explanation:

sorry for late anwser

4 0
3 years ago
Solve the equation: 15=2y-5
Arisa [49]

Answer:

2 times 10 - 5 equals 15

Step-by-step explanation:

hope that helps

8 0
3 years ago
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