Question

A ring costs $36 more than a bracelet. the cost of the bracelet is 4/7 the cost of the ring. find the total of the two items.

Answer 1

So let's use some equations to represent the data [let R= cost of ring & B= cost of bracelet]

R= B + $ 36 .... (1)

B=
`(4)/(7)` × R ... (2)

By using simultaneous equations to solve for B and R.
Substitute eq. (1) into eq. (2)

B =
`(4)/(7)` × (B + $36)

B =
`(4)/(7)`B +
`(144)/(7)`


`( (7)/(7) - (4)/(7) ) B = (144)/(7)`


`(3)/(7) B = (144)/(7)`

⇒ B = $48

By substituting value of B into ea (1)

If R = B + $36

R = ($48) + $36

= $84

∴ the total of the two items = R + B
= $84 + $48
= $132