Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In an ATM if the currency notes of denominations of Rs. $500$ , Rs. $100$ and Rs. $50$ respectively the notes are in the ratio of $3:3:4$ . The total cash in the ATM is Rs. $400,000$ . How many notes of each denominations that ATM contains?

View step-by-step help

View step-by-step help

Write linear functions: word problems

Full solution

Q. In an ATM if the currency notes of denominations of Rs.

500

, Rs.

100

and Rs.

50

respectively the notes are in the ratio of

3:3:4

. The total cash in the ATM is Rs.

400,000

. How many notes of each denominations that ATM contains?

Understand ratio and total cash: Understand the ratio of the currency notes and the total cash in the ATM. $\newline$ The ratio of the notes is given as $3:3:4$ for Rs. $500$ , Rs. $100$ , and Rs. $50$ notes respectively. The total cash in the ATM is Rs. $400,000$ .
Calculate total parts in ratio: Calculate the total number of parts in the ratio. $\newline$ The ratio has $3$ parts for Rs. $500$ notes, $3$ parts for Rs. $100$ notes, and $4$ parts for Rs. $50$ notes. So, the total number of parts is $3 + 3 + 4 = 10$ parts.
Determine value of each part: Determine the value of each part in the ratio. $\newline$ Since the total cash is Rs. $400,000$ and there are $10$ parts, each part is worth Rs. $\frac{400,000}{10} = 40,000$ .
Calculate number of Rs. $500$ notes: Calculate the number of Rs. $500$ notes. Since each part is worth Rs. $\newline$ $40,000$ and the Rs. $500$ notes are $3$ parts of the ratio, the total value of Rs. $500$ notes is $3 \times Rs.40,000 = Rs.120,000$ . To find the number of Rs. $500$ notes, divide this amount by the denomination: $\frac{Rs.120,000}{Rs.500} = 240$ notes.
Calculate number of Rs. $100$ notes: Calculate the number of Rs. $100$ notes. Similarly, the Rs. $100$ notes are also $3$ parts of the ratio, so the total value of Rs. $100$ notes is also Rs. $120,000$ . To find the number of Rs. $100$ notes, divide this amount by the denomination: Rs. $120,000$ / Rs. $100$ = $1,200$ notes.
Calculate number of Rs. $50$ notes: Calculate the number of Rs. $50$ notes. $\newline$ The Rs. $50$ notes are $4$ parts of the ratio, so the total value of Rs. $50$ notes is $4 \times \text{Rs.}40,000 = \text{Rs.}160,000$ . To find the number of Rs. $50$ notes, divide this amount by the denomination: $\text{Rs.}160,000 / \text{Rs.}50 = 3,200$ notes.

More problems from Write linear functions: word problems

Question

This equation shows how the time required to screen-print a batch of shirts is related to the number of shirts in the batch.

\newline

t = s + 13

\newline

s

represents the number of shirts in the batch, and the variable

t

represents the time required to screen-print the shirts. How long does it take to screen-print a batch of

4

\newline

_________minutes

Posted 2 months ago

Question

Krysta wants to take piano lessons. She asked a teacher how many new pieces she could expect to learn each month. The teacher gave an estimate of

3

. Write an equation that shows how the total number of pieces Krysta would learn,

y

, depends on the number of months of piano lessons,

x

\newline

y

Posted 2 months ago

Question

Tom bought a boat for

\$3,000

and incurs a daily storage fee of

\$15

. Write a linear function to represent the total amount Tom will owe,

p(x)

x

days to pick it up.

\newline

Posted 3 months ago

Question

180

-page book cover to cover in a single session, at a constant rate. It took him

6

\newline

\newline

y

represent the number of pages left to read after

\newline

t

\newline

Which of the following information about the graph of the relationship is given?

\newline

1

\newline

\newline

x

\newline

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

\newline

x

\newline

y

\newline

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 4 months ago

Question

A charity organization had to sell

18

tickets to their fundraiser just to cover necessary production costs. They sold each ticket for

\$45

y

represent the net profit (in dollars) when they have sold

x

tickets. Which of the following information about the graph of the relationship is given?

\newline

1

\newline

x

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

x

y

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 2 months ago

Question

Hiro painted his room. After

3

hours of painting at a rate of

8

square meters per hour, he had

28

square meters left to paint.

\newline

\newline

y

represent the area (in square meters) left to paint after

\newline

x

\newline

Which of the following information about the graph of the relationship is given?

\newline

1

\newline

\newline

x

\newline

\newline

y

\newline

(C) Slope and a point that is not an intercept

\newline

\newline

x

\newline

y

\newline

\newline

y

-intercept and a point that is not an intercept

\newline

(F) Two points that are not intercepts

Posted 2 months ago

Question

Naoya read a book cover to cover in a single session, at a rate of

55

pages per hour. After

4

350

pages left to read.

\newline

y

represent the number of pages left to read after

x

\newline

Complete the equation for the relationship between the number of pages left and number of hours.

\newline

y=

Posted 1 month ago

Question

A teacher purchased

300

colored pencils for an upcoming project. The pencils she ordered come in packs of

20

30

14

packs in all. Write a system of equations to find the number of

20

(x)

30

(y)

the art teacher ordered.

Posted 2 months ago

Question

C=0.25(L-1200)

\newline

C

, in dollars, to the holder of a liability insurance account given a total liability of

L

dollars is given by the equation as long as

C

is positive. By how many dollars does the liability increase when the cost to the holder increases by

1

Posted 2 months ago

Question

P=\frac{2}{5} m+1.5

\newline

P

, in dollars, of a train ticket used to travel a distance of

m

miles is given by the equation. By how many miles does the traveling distance increase if the ticket price increases by

1

Posted 4 months ago