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
Masja [62]
3 years ago
10

A vegetable store sold 3 tons of vegetables less on the first day than on the second, and on the third day it sold 5/9 of the am

ount sold in the first two days. How many vegetables was the store selling every day if it sold altogether 98 tons of vegetables for the three days?

Mathematics
2 answers:
Ilya [14]3 years ago
8 0
Let
x---------> <span>quantity (ton) of vegetables sold the first day
</span>y---------> quantity (ton)  of vegetables sold the second day
z---------> quantity (ton) of vegetables sold the third day

we know that
x=y-3---------> equation 1
z=(5/9)*(x+y)------> equation 2
x+y+z=98-----> equation 3
substitute equation 2 in equation 3
x+y+[(5/9)*(x+y)]=98----> multiply by 9----> 9x+9y+5x+5y=882
14x+14y=882-----> equation 4

to resolve the equations system formed by
x=y-3
14x+14y=882

using a graph tool
see the attached figure
the solution is
x=30
y=33
x+y+z=98----> z=98-(x+y)----> z=98-63---> 35

the answer is
vegetables sold the first day----> 30 ton
vegetables sold the second day----> 33 ton
vegetables sold the third day------> 35 ton

DIA [1.3K]3 years ago
4 0
Answer:
amount sold on first day = 30 tons
amount sold on second day = 33 tons
amount sold in third day = 35 tons

Explanation:
Assume that the amount of vegetables sold on the second day is x.
We are given that:
Amount of vegetables sold on the first day is 3 tons less that sold on the second day.
This means that:
amount sold on first day = x - 3 
Amount of vegetables sold on the third day is 5/9 the amount sold on the first two days.
This means that:
amount sold on third day = (5/9) (x + x - 3)
amount sold on third day = \frac{10}{9} x -  \frac{5}{3}

Now, we know that:
Total amount sold is 98 tons.
This means that:
98 = x - 3 + x + \frac{10}{9} x - \frac{5}{3}

Now, we will solve for x as follows:
98 = \frac{28}{9} x -  \frac{14}{3}

882 = 28x - 42
882 + 42 = 28x
924 = 28x
x = 924/28
x = 33 tons

This means that:
amount sold on first day = x - 3 = 33 - 3 = 30 tons
amount sold on second day = x = 33 tons
amount sold on third day = \frac{10}{9} x - \frac{5}{3} = \frac{10}{9} (33) - \frac{5}{3} = 35 tons

Hope this helps :)

You might be interested in
What is the measure of unit in slope of years and feet
riadik2000 [5.3K]
Ieiwsks,s,s,d d smsmslww
Lsleeldldd
5 0
3 years ago
-What is the slope of the graph below? -3/5<br><br> 3/5<br><br> -5/3<br><br> 5/3
Lilit [14]
Answer to the question is 5/3

3 0
3 years ago
Read 2 more answers
Carla had $40 to spend at the mall. she spent 20% of her money on lunch and 3/4 of her remaining money on a necklace. what fract
Margarita [4]
5
_

3 
 this is the answer

3 0
3 years ago
Help me pls i need it fast!thanks
never [62]

Answer:

the answer is m/_ JKN = 77⁰

7 0
3 years ago
Read 2 more answers
Q. Find the measure of QR
Vika [28.1K]

Answer: 22

Step-by-step explanation:

By the triangle midsegment theorem, QR=2(US)=2(11)=22.

7 0
2 years ago
Other questions:
  • Please help I have no idea what I’m doing
    5·1 answer
  • Which fraction is equivalent to 63/9 ? PLS HELP!! thxs =)
    5·2 answers
  • Rachel really wants to purchase a new skateboard and her mother has agreed to give her a weekly allowance that she can save unti
    10·1 answer
  • What is <br> 2x-3y=-19<br> 4x+3y=7<br> URGENT
    13·1 answer
  • 19. Students at a certain school can enroll in one elective course: painting, theater, choir, or band. This two-way frequency
    14·1 answer
  • Given:circle O, with tangent segments AC and AB . What is the measure of angle A
    7·1 answer
  • Please this is connexus quiz mid unit please help
    15·1 answer
  • Write an equation of the line in slope-intercept form given the slope is 2 and the y-intercept is -5.
    5·1 answer
  • Help I don’t understand
    10·1 answer
  • Please help! Will mark brainliest &lt;3. (Click on the photo too see the question!)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!