Question

The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 . How many beads did claire did claire have finally

Answer 1

37 beads

Explanation:

Given that:

Adel : Claire = 7 : 4

Let Adel be = A; &

Let Claire be = C

A: C = 7 : 4

`(A)/(C) =(7)/(4)`

7C = 4A

`C = (4A)/(7)` --- (1)

When Adel gave 68 beads to claire, we have:

C + 68 = 25:41

`(A)/(C+68)= (25)/(41)`

25(C + 68) = 41A

C + 68 =
`(41)/(25)A`

`C = (41)/(25)A - 68` --- (2)

Equating (1) and (2) together;

`(4 * A)/(7) = (41 *A)/(25) - 68`

`(4 * A)/(7)-(41 *A)/(25) = - 68`

`(100A - 287 A)/(175) =- 68`

`(-187A)/(175) = -68`

- 187 A = 175 × (-68)

-187 A = - 11900

A = - 11900/ -187

A ≅ 64

From;
`C = (4A)/(7)`

`C = (4*64)/(7)`

C = 36.57

C ≅ 37 beads