Question

John has 5 boxes of sweets. One group of boxes has 5 sweets in each box. The second group of boxes has 4 sweets in each box. John has a total of 22 sweets. How many boxes of each type John has?

Answer 1

3 boxes with 4 sweets and 2 boxes with 5 sweets

Explanation:

• Boxes with 4 sweets= x
• Boxes with 5 sweets= y

As per given, we have following equations:

• x + y = 5
• 4x + 5y = 22

x= 5- y as per the first equation, considering in second one:

• 4(5 - y) + 5y = 22
• 20 - 4y + 5y = 22
• y =2

Then:

• x= 5 - y = 5 - 2= 3

So there 3 boxes with 4 sweets and 2 boxes with 5 sweets