Question

The cost of the pendant is 3/4 the cost of the bracelet. If their total cost is P413 how much does the pendant cost?

Answer 1

P 717

Explanation:

Fraction addition using algebra:

Let the cost of bracelet = x

`\sf Cost \ of \ pendent = (3)/(4)*Cost \ of \ bracelet`

`\sf = (3)/(4)x`

Cost of bracelet + cost of pendent = 413

`\sf x + (3)/(4)x = 413\\\\ (4)/(4)x+(3)/(4)x=413`

`\sf (7)/(4)x=413`

Muliply both sides by 4,

`\sf 4*(7)/(4)x = 413*4\\\\`

7x = 413 * 4

Now, divide both sides by 7

`\sf x = (413*4)/(7)\\\\ x = 59*4\\\\x = 236`

Cost of bracelet = P 236

Cost of pendent = 413 - 236

= P 177