Ask question

Ask question

All categories

3 years ago

5

There are some Rs2 and Rs5 coins in a box. The ratio of the number of Rs2 coins to the number of Rs5 coins is 1:3. The value of

all the Rs5 coins is Rs45. What is the value of all the Rs2 coins in the box?

1 answer:

Mars2501 [29]3 years ago

4 0

Given:

The ratio of the number of Rs2 coins to the number of Rs5 coins is 1:3.

The value of all the Rs5 coins is Rs45.

To find:

The value of all the Rs2 coins in the box.

Solution:

Let x be the number of Rs2 coins and y be the number of Rs5 coins.

The value of all the Rs5 coins is Rs45.

$5y=45$

$y=\dfrac{45}{5}$

$y=9$

The ratio of the number of Rs2 coins to the number of Rs5 coins is 1:3.

$\dfrac{x}{y}=\dfrac{1}{3}$

$\dfrac{x}{9}=\dfrac{1}{3}$

Multiply both sides by 9.

$\dfrac{x}{9}\times 9=\dfrac{1}{3}\times 9$

$x=3$

The value of all the Rs2 coins in the box is:

$\text{Required value}=2x$

$\text{Required value}=2(3)$

$\text{Required value}=6$

Therefore, the value of all the Rs. 2 coins in the box is Rs. 6.

You might be interested in

A teacher uses a stem-and-leaf plot to record the typing speeds of her students, in words per minute.

vichka [17]

75 is the median
And 79 is the mode

4 0

3 years ago

If the new building is 22.5 inches from the gymnasium in the model, what would the actual distance from the gymnasium to the new

Klio2033 [76]

Answer:

yes

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 a

Inga [223]

Answer:

The coordinates of B' and C' are $B'(x,y) = (4, -7)$ and $C'(x,y) = (-1, -8)$ , respectively.

Step-by-step explanation:

From the Linear Algebra, we define the translation of a given point as:

$O'(x,y) = O(x,y) + T(x,y)$ (1)

Where:

$O(x,y)$ - Original point, dimensionless.

$T(x,y)$ - Translation vector, dimensionless.

$O'(x,y)$ - Translated point, dimensionless.

If we know that $A'(x,y) = (1, -5)$ and $A(x,y) = (4,-2)$ , then the translation vector is:

$T(x,y) = A'(x,y)-A(x,y)$ (2)

$T(x,y) = (1,-5)-(4,-2)$

$T(x,y) = (-3,-3)$

If we know that $B(x,y) = (7,-4)$ , $C(x,y) = (2,-5)$ and $T(x,y) = (-3,-3)$ , then the translated points are, respectively:

$B'(x,y) = B(x,y)+T(x,y)$ (3)

$B'(x,y) = (7,-4) +(-3,-3)$

$B'(x,y) = (4, -7)$

$C'(x,y) = C(x,y) +T(x,y)$

$C'(x,y) = (2,-5) + (-3,-3)$

$C'(x,y) = (-1, -8)$

The coordinates of B' and C' are $B'(x,y) = (4, -7)$ and $C'(x,y) = (-1, -8)$ , respectively.

5 0

3 years ago

Write an inequality for the following statement. A is greater than 7

yarga [219]

Answer: A>7

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A pack of cinnamon-scented pencils sells for $5.00. What is the sales tax rate if the total cost of the pencils is $5.20?

Leya [2.2K]

Calculate the percentage increase,work out the difference (increase) between the two numbers you are comparing. Then divide the increase by the original number and multiply the answer by 100.

520-500 = 20
20÷500 =.04
.04 ×100= 4%

3 0

3 years ago