Answer:
(a) 0.52
(b) 5.62%
Step-by-step explanation:
The cost price of the tomatoes is 52.
Now we need to know the price per KGB of the tomatoes and this equal the cost price divided by the total weight.
I.e 52/130 = 0.4 per KG
We also know that she sold half at 30% profit.
(a) New selling price per kg.
To get that, we find 30% of 0.4 which equals 0.12.
We then add this to 0.4 = 0.4 + 0.12 = 0.52
(b) percentage profit on whole transaction. We know that she threw away 5kg from the other half after selling 65kg.
Now amount of kg left after throwing away 5kg from the other half is 60kg.
She sold this 60kg at 12% loss.
We find 12% of 0.4 = 0.048
We subtract this from 0.4 = 0.4 - 0.048 = 0.352.
Now total sales now equal the following: 0.52(65) + 0.352(60)
= 33.8 + 21.12 = 54.92
% profit = (selling price- cost price)/cost price × 100%
(54.92 - 52)/52 × 100%
2.92/52 × 100% = 5.62%
The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:
- The greatest number of plates you can prepare is 6.
- Each plate will have 3 crackers.
- Each plate will have 2 slices of cheese.
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To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.
Thus, factoring them, always by the same number:
12 - 18|2
6 - 9|3
2 - 3
The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.
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18 crackers, so each plate has 18/6 = 3 crackers.
12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.
A similar question is given at brainly.com/question/18454593
Answer:
b
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
Let, total rooms girls booked be x and total rooms girls booked be y.
entire hotel was booked except two rooms.
so, total = 158-2 = 156
x+ y = 156
this is equation 1.
also, girls are using three times more room than boys.
so, y=3x
substituting y=3x in 1st equation,
x+ 3x = 156
or, 4x = 156
or, x= 156/4
x= 39
Answer:
The largest possible volume of the box is 500,000 cm³
Step-by-step explanation:
Let the a side of the square base = x
let the height of the box, = h
volume of the box, v = hx²
Surface area of the box, A = 4hx + x²
30000 = 4hx + x²
make h the subject of the formula;

Volume of the box, V = hx²

At maximum value of V, dv/dx = 0

Substitute in the value of x to determine the maximum volume, V;

Therefore, the largest possible volume of the box is 500,000 cm³