Math, asked by valynowens, 2 months ago

4 plates and 3 cups cost 15.40 dollars. 5 plates and 4 cups cost 19.60 dollars. Each plate costs the same amount as the other plates, and each cup costs the same amount as the other cups. What is the cost of 1 plate? What is the cost of 1 cup?

Answers

Answered by bhagyashreechowdhury
4

Given:

4 plates and 3 cups cost 15.40 dollars. 5 plates and 4 cups cost 19.60 dollars. Each plate costs the same amount as the other plates, and each cup costs the same amount as the other cups.

To find:

What is the cost of 1 plate? What is the cost of 1 cup?

Solution:

Let,

"p" → be the cost of 1 plate

"c" → be the cost of 1 cup

As given in the question, we can form the equations as:

4p + 3c = 15.40 . . . . (1)

and

5p + 4c = 19.60 . . . . (2)

On multiplying equation (1) by 5 and equation (2) by 4, we get

20p + 15c = 77 . . . . (3)

and

20p + 16c = 78.40 . . . . (4)

On subtracting equation (3) from (4), we get

20p + 16c = 78.40

20p + 15c = 77

-        -         -

---------------------------

        c = 1.4

----------------------------

On substituting the value of c in equation (1), we get

4p + 3(1.4) = 15.40

⇒ 4p + 4.2 = 15.40

⇒ 4p = 11.2

p = 2.8

Thus,

The cost of 1 plate is → 2.80 dollars

The cost of 1 cup is → 1.40 dollars

----------------------------------------------------------------------------------------

Also View:

the cost of 5 oranges and 3 apples is Rs. 35 and the cost of 2 oranges and 4 apples is Rs. 28. Find the cost of an orange and an apple.

brainly.in/question/4752778

An apple and an orange cost $1.30. Susan paid $13.40 for 12 apples and 8 oranges. Yani bought 9 oranges. How much did Yani pay for them?

https://brainly.in/question/7763306

A person who has 100 Rupee and he have to buy plates, glass, spoon and this item add to get 100 and those items rupee is one plate=5, one glass =3 and 40spoon =one rupee, then how many plates want, how much glass want, how much spoons want?

https://brainly.in/question/16248032

Similar questions