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?

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.

Find the product of 21 and (6.3 · 10x^{-4} ).

1.) 1.323 · 10 x^{2}
2.) 1.323 · 10 x^{-3}
3.) 0.1323 · 10 x^{-1}
4.) 1.323 · 10 x^{l2}

A bag contains 60 marbles of different colours. The probability of randomly selecting a red marble is 5/12. How many red marbles does the bag contain?

Please help I put 74 points there is an image

Find the value of x.

1. Deborah finds that the theoretical probability of flipping "heads" on a fair coin was
50%. After she flipped the fair coin 100 times, she calculated that she Flipped "heads"
45 times. What is the percent difference in theoretical and experimental probability?

Help ASAP. I will give brainliest

Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the. m=-16. What is the value of b?

What's The actual length of QR (round to 3 decimal places) ?

what are the zeros of the function f(x)=x^2-3x?​

20 BRLAIFAST
NELS
PURCHASE
BAUNE OF
CUT CARD IN
COUPS
50
Jimmy was given a gift card to
his favorite breakfast restaurant.
What equation represents the
balance of the gift card in
dollars, y, when x amount of
breakfast meals are purchased?
35
20
6
5

Determine the equation of the line that passes through (5,2)and has the same y-intercept as y = 3

Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?

Two radar stations 2.5 miles apart are tracking an airplane. the straight-line distance between Station A and the plane is 7 miles. the straight-line distance between station B and the plan is 9 miles. What is the angle of elevation from Station B to the plane?

Miss Chambers bought 5 pens for $255, if she made a profit of $3 each per pen how much did she sell a pen for?​

Reduce £20 by 15%

:
:
:
:
:
:

Find the 6th term in the
sequence.
5, 20, 80,...
Hint: Write a formula to help you.
1st ferm - Common Ratio desired term - 1)

I really need help please

plsss helppp i have 1hr left

What is the value of x in the equation *x - y = 30, when y = 15?
O 4
8
O 80
O 200

helppppppp pllzzzzzzzzzzzz

Your purchase a T-shirt with a label pre-tax price of $17 the local sale price rate is 5% what is your final cost including tax

x/3 + 1/1
pls answer if you know ​

A mobile set is sold for Rs 6,630 after a discount of 15%. Find the marked price of the mobile set.
​

Write this percentage as a fraction in its simplest form.
30%​

A fish-tank has a length of 27 centimeters, a width of 21 centimeters and a depth of 16 centimeters. Find the volume of the fish-tank.

which of the following is a convex polygon? ​

What is the simple interest on $7430 invested for 3 years at 5% per annum simple interest?​

Please help me!!! I would really appreicate it but if you can't that is okay I understand :)
(MULTIPLE CHOICE)

round to the nearest whole number than add 4.208 + 2.482



​

What does it mean buy “Determine the total volume of the doghouse.”

I’ve already done all the work for each shapes on a dog house, I figured out all the volumes for each but does this question mean, do I add all my volume together? They are all really big numbers

7
Mr Johns needs four different lengths of pipe.
2.8 m
4.1 m
0.4 m
The pipe costs £1.34 per metre.
Work out the total cost of the pipes Mr Johns needs to buy.
Round your answer to the nearest penny.
Ict
ance is