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
Anvisha [2.4K]
2 years ago
12

Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold.

If 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold. How many pears are there at the stall?
Mathematics
1 answer:
lutik1710 [3]2 years ago
3 0

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

You might be interested in
A fraction in hundredths equal to 7/10 is?
qaws [65]
The answer is 70/100ths i am pretty sure

5 0
3 years ago
Please help me on this
IrinaVladis [17]

Answer:

Step-by-step explanation:

coordinate of O(2,1),Y(3,-2),T(-3,-3)

let the reflected points are O',Y',T'

distance of O from y=2 is 1 unit.

∴ ordinate of O' =1+2(1)=3

or O' is (2,3)

distance of Y from y=2 is2+2=4

ordinate of Y'=-2+2(4)=6

so coordinate of Y' is (3,6)

distance of T from y=2 is (2+3)=5

so ordinate of T' =-3+2(5)=7

coordinate of T' is(-3,7)

3 0
2 years ago
WILL GIVE THANK,BRAINLY,AND 5 STARS
Dvinal [7]

Answer:

I believe the answer is 17 ft and 8 inches

Step-by-step explanation:

correct me If im wrong

4 0
2 years ago
For question number 1, would the data be closer to 10 or 14?
Ulleksa [173]
The answer is 14
Hope this helps
8 0
3 years ago
You are standing next to a really big circular lake. You want to measure the diameter of the lake, but you don't
Simora [160]

Answer:

1 275.5 m

Step-by-step explanation:

Measure of the circumference = 4007

on the other hand ,the Measure of the circumference = (diameter)×π

then

the measure of the diameter = 4 007÷π = 1 275.46771393845 m

5 0
3 years ago
Other questions:
  • A computer is purchased for $1,200 and depreciates at $140 per year. Write a linear equation that
    13·1 answer
  • Ten young adults living in California rated the taste of a newly developed sushi pizza topped with tuna, rice, and kelp on a sca
    5·1 answer
  • Describe the translation of f(x)=|x|
    11·1 answer
  • PLS HELP ME ASAP
    8·1 answer
  • Look at the picture and plzz help me and also pick from the boxed sentences
    13·1 answer
  • A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
    14·2 answers
  • A man is walking a triangular path, partially represented by the vectors AB−⇀−=⟨0,10⟩ and CA−⇀−=⟨−12,0⟩ . If his distance is rep
    11·1 answer
  • I NEED HELP ASAP ASAP!
    12·1 answer
  • 90×10 4<br><br><br> please help me guys
    9·1 answer
  • Use benchmarks. estimate
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!