Question

When a number is divided by 5, the result is 50 less than if the number had been divided by 6. What is the number?

50 LESS THAN not GREATER THAN

Answer 1

1500

Explanation:

x=number

x/5 is 50 more than x/6

x/5=50+x/6

6x/30=50+5x/30

minus 5x/30 from both sides

x/30=50

times 30 both sides

x=1500

Answer 2

• The number is - 1500

Explanation:

Let the number is n.

Set up equation according to problem:

• n/5 = n/6 - 50
• n/6 - n/5 = 50
• 5n/30 - 6n/30 = 50
• - n/30 = 50
• n = - 30*50
• n = - 1500

Proof:

• -1500/5 = - 1500/6 - 50
• -300 = - 250 - 50
• - 300 = - 300