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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 :)

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