Question

the ratio of zoes money to yolansa's is 3:7. Yolanda has $64 more than Zoe. If Yolanda gives (1)/(4) to zoe what is the new ratio of zoes money to yolanda

Answer 1

New Ratio = 19:21

This deals with ratios, fractions and basic arithmetics'.

• The ratio of money of zoe to yolansa's own is 3:7.

Thus, the total part for each of them will be;

Zoe; 3/10

Yolansa; 7/10

• If the total money they both have is x, then they will have;

Zoe; 3x/10

Yolansa; 7x/10

• Now,Yolanda has $64 more than Zoe. Thus;

$\frac{7x}{10}$ - $\frac{3x}{10}$ = 64

Simplifying this gives;

$\frac{4x}{10}$ = 64

Rearranging gives;

4x = 640

x = 640/4

x = $160

Thus, originally;

Yolanda has $\frac{7}{10}$ × 160 = $112

Zoe has $\frac{3}{10}$ × 160 = $48

Yolanda now gives $\frac{1}{4}$ of her money to Zoe.

Thus, she gives out $\frac{1}{4}$ × 112 = $28

Thus,

Zoe now has; 48 + 28 = $76

Yolanda now has; 112 - 28 = $84

• New ratio of zoes money to yolandas money is;

76:84

Simplifying this ratio gives;

19:21

Read more here; brainly.in/question/8398239

Answer 2

We are required to find the new ratio of zoes money to yolanda

the new ratio of zoes money to yolanda is 19:21

Ratio of zoes money to Yolanda's = 3:7.

Zoes = 3

Yolanda = 7

Total ratio = 3 + 7 = 10

let

x = Total money

Zoes = 3/10

Thus, the total part for each of them will be;

Zoe= 3/10x

Yolanda = 7/10x

Yolanda has $64 more than Zoe.

Therefore,

7/10x - 3/10x = 64

(7x - 3x) / 10 = 64

4x/10 = 64

cross product

4x = 64 × 10

4x = 640

divide both sides by 4

x = 640/4

x = $160

Original share:

Zoe = 3/10x

= 3/10 × 160

= 0.3 × 160

= $48

Yolanda = 7/10x

= 7/10 × 160

= 0.7 × 160

= $112

If Yolanda gives 1/4 to zoe

= 1/4 of 112

= 1/4 × 112

= 0.25 × 112

= $28

New Zoe's share = $48 + $28

= $76

New Yolanda's share = $112 - $28

= $84

Their new ratio = 76 : 84

divide by 4

= 19 : 21

Read more:

https://brainly.com/question/3796978