1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
a_sh-v [17]
3 years ago
15

Certain items are purchased jointly. If each person pays 8 coins, the surplus is 3 coins, and if each person gives 7 coins, the

deficiency is 4 coins. Let x represent the number of people and y the number of coins needed to purchase the items. Find the number of people and the number of coins used to purchase the items.
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
7 0

Answer:

7 people purchase the items and they used 53 coins

Step-by-step explanation:

Let x represent the number of people.

Let y be the number of coins needed to purchase the items.

If each person pays 8 coins, the surplus is 3 coins. This is illustrated below:

8x = y + 3 (1)

if each person gives 7 coins, the deficiency is 4 coins. This is illustrated below:

7x = y — 4 (2)

Solving by elimination method: subtract equation(2) from equation (1). This is illustrated below:

8x = y + 3 (1)

— (7x = y — 4) (2)

x = 7.

Next, Substituting the value of x into any of the equation to obtain y. In this case I will be using equation 1 as illustrated below:

8x = y + 3 (1)

8(7) = y + 3

56 = y + 3

Collect like terms

y = 56 — 3

y = 53

Therefore, 7 people purchase the items and they used 53 coins

You might be interested in
A. (0, -2)
Anastaziya [24]

Answer: D

Step-by-step explanation: edge

3 0
3 years ago
Which of the following phrases are equations?
Svetradugi [14.3K]

Answer:

(A)

(B)

(D)

Step-by-step explanation:

(A) 60/5 = 4 × 3

(B) 74 = -2t

(D) (r−3) × s=s²

Are equations

6 0
3 years ago
An item is priced at 60 dollars it is on sale for 40% off the regular price
pantera1 [17]
36, because 60 time .4 is 24 so 60 - 24 is 36 so it is 36 dollars.
 <span />
8 0
3 years ago
True of false !!! The triangle shown below must be congruent
user100 [1]

False.

Right triangles do not have to be congruent.

:)

6 0
2 years ago
Read 2 more answers
NEED HELP ASAP
antoniya [11.8K]

answer= x=20

Step-by-step explanation:

We have, 35% × x = 7

or,  

35

100

× x = 7

Multiplying both sides by 100 and dividing both sides by 35,

we have x = 7 ×  

100

35

x = 20

If you are using a calculator, simply enter 7×100÷35, which will give you the answer.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Is omega larger than Infinite, explain your answer
    10·1 answer
  • If y varies directly as x and given y =9 when x= 5, fInd:
    6·1 answer
  • According to 2013 report from Population Reference Bureau, the mean travel time to work of workers ages 16 and older who did not
    12·1 answer
  • Since beth was born, the population of her town has increased at a rate of 850 people per year. On beth 9ths birthday, the total
    6·2 answers
  • The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?
    13·2 answers
  • If you earn $3250 per month and you expect your earnings to increase by 2.2% per year, how much do you think you will be making
    6·1 answer
  • \lim _{x\to 0}\left(\frac{\sqrt{1+3x+x^2}-1}{\arcsin \left(2x\right)}\right)
    10·1 answer
  • Does -8+y=-5 have a slope of 8​
    11·2 answers
  • Do the sides make a unique triangle or no?
    12·1 answer
  • Just number seven plzzzzzzzzzzzz
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!