The missing coins
Amira has a jar of coins made up of only 10p and 20p coins. There are 24 coins in total. The total value of all the coins is £3.60.
How many 10p coins does Amira have?
Word Problem
A bridge is built across a river. One quarter of the bridge is over the left bank of the river and one third of the bridge is over the right bank. The river is 120 m wide. How long is the bridge?
Let’s use algebra to solve this:
ReplyDeleteLet x be the number of 10p coins.
Then, the number of 20p coins is 24 - x.
Now set up the equation:
Value from 10p coins = 10 × x = 10x
Value from 20p coins = 20 × (24 - x) = 480 - 20x
Total value:
10x + (480 - 20x) = 360
→ 480 - 10x = 360
→ -10x = 360 - 480
→ -10x = -120
→ x = 12
Final Answer:
Amira has 12 ten pence coins.