Question

2. Aladdin has some lamps. When Aladdin buys three more lamps and adds to the double of the number of lamps he has, the total number of lamps goes up to 15.

(a) Form an equation for the above, considering x as the number of lamps that Aladdin has.

Answer 1

x=6

Explanation:

Let the number of lamp Aladdin has=x

Aladdin buys three more lamps and adds to the double of the number of lamps he has.

• Double the number he already has=2x
• Three more lamps added to the double=2x+3
• The total number of lamps goes up to 15.

Therefore:

2x+3=15

Subtract 3 from both sides

2x+3-3=15-3

2x=12

Divide both sides by 2

x=6

Aladdin has 6 lamps initially.

Answer 2

The equation for the number lamps Aladdin have;

2x + 3 = 15

To solve for x;

2x = 15-3

x = 12/2 = 6

Aladdin have 6 lamps earlier.

Explanation:

Let x be the number of lamps Aladdin have before;

When Aladdin buys three more lamps and adds to the double of the number of lamps he has, the total number of lamps goes up to 15.

2x + 3 = 15

To solve for x;

2x = 15-3

x = 12/2 = 6

Aladdin have 6 lamps earlier.