# Coins and Price Problems - Examples and Questions with Answers

Jun 06, 2021## What are Coins and Price Problems?

Coins and price problems involve operations on different **denominations** of currencies to find the total amount or number of different types of currencies present. There are different coins which are used like 1p, 2p, 10p, 50p, £1, £2. In this category of problems, different types of questions are asked like to find the total number of different coins, the value of different coins, etc.

## Basic Coins and Price Problems

**Questions:**

- Stuart has five more 1p coins than 5p coins. If he has 35p, How many coins does he have in total?
- Alisa has three times as many 10p coins as 20p coins. If Alisa has £2.50. How many 20p coins does Alisa have?
- Matt has got 15 more 5p coins than 1p coins. Find the total amount in the pound if he has a total of twenty 1p coins.
- A jar has 40 coins consisting of 2p and 5p coins. If the total amount of money is £1.76. How many 2p coins are there in the jar?
- Scott has twice as many 2p coins as 5p coins. He has also thrice as many 1p coins as many 2p coins. Scott has a total of £4.50. Find the total number of 1p coins with him?

**Answers:**

- 15
- 5
- £1.95
- 8
- 180

## Advanced Coins and Price Word Problems

**Questions:**

- Hilbert has £5, which he uses to buys gift. He gets £0.5 back in coins of 2p and 5p. If the total number of coins received is sixteen, How many 2p and 5p coins does he get?
- Meghan exchanged his £5 note for coins of 50p and 20p. If he got ten 20p coins, how many 50p coins does he receive?
- Robert has got four varieties of coins with him: 2p, 5p, 20p and 50p. If he a minimum of two coins of each type and has 18 coins in total. What is the total minimum amount (in pounds) that Samuel can have?
- Larry has a total of £6 consisting of 20p, £1 and £2 coins. If he has two £2 coins, find the maximum number of 20p coins he can have?
- Grace has a total of £7.50 consisting of ten 20p coins and nineteen 50p and 10p coins combined. Find the number of 10p coins with her?

**Answers:**

- 2p: 10 coins; 5p: 65 coins
- 6
- £1.74
- 5
- 10

## How to Solve Coins and Price Problems?

**Example 1: Scott has twice as many 2p coins as 5p coins. He has also thrice as many 1p coins as many 2p coins. Scott has a total of £4.50. Find the total number of 1p coins with him?**

** Solution:**

**Example 2: Grace has a total of £7.50 consisting of ten 20p coins and nineteen 50p and 10p coins combined. Find the number of 10p coins with her?**

** Solution:**

To learn more about 11+ Advanced Algebra topics, word problems and how to solve them, view our video lessons on Advanced Algebra Word Problems for 11+ Exams.

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