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First question
①Brenda has ½ more sweets than Faith.
½ is 1 out of 2.
So we can say that Faith has 2 units of sweets and Brenda has 1 unit more than her. Brenda has 3 units.
Ratio of sweets of Brenda to Faith = 3 : 2
②Faith has 3/7 less sweets than Vivian.
3/7 is 3 out of 7.
So we can say that Vivian has 7 units of sweets and Faith has 3 units less than her. Faith has 4 units.
Ratio of sweets of Faith to Vivian = 4 : 7
Now we have a repeated identity, Faith. We should make her units the same number for both ratios, since it's for the same person.
We can change 3 : 2 into 6 : 4
Ratio of sweets of Brenda to Faith = 6 : 4
Now we can write the ratio comparing all three girls.
Ratio of sweets of Brenda to Faith to Vivian = 6 : 4 : 7
Total number of units = 6+4+7=17
So 17 units = 289 sweets
1 unit = 289 sweets ÷ 17 = 17 sweets
Number of sweets Vivian has = 7 units
= 7 x 17
= 119
①Brenda has ½ more sweets than Faith.
½ is 1 out of 2.
So we can say that Faith has 2 units of sweets and Brenda has 1 unit more than her. Brenda has 3 units.
Ratio of sweets of Brenda to Faith = 3 : 2
②Faith has 3/7 less sweets than Vivian.
3/7 is 3 out of 7.
So we can say that Vivian has 7 units of sweets and Faith has 3 units less than her. Faith has 4 units.
Ratio of sweets of Faith to Vivian = 4 : 7
Now we have a repeated identity, Faith. We should make her units the same number for both ratios, since it's for the same person.
We can change 3 : 2 into 6 : 4
Ratio of sweets of Brenda to Faith = 6 : 4
Now we can write the ratio comparing all three girls.
Ratio of sweets of Brenda to Faith to Vivian = 6 : 4 : 7
Total number of units = 6+4+7=17
So 17 units = 289 sweets
1 unit = 289 sweets ÷ 17 = 17 sweets
Number of sweets Vivian has = 7 units
= 7 x 17
= 119
Thank U brother
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God bless u.
Second question
①Adele has ⅓ more jelly beans than Emily.
⅓ is 1 out of 3.
So we can say that Emily has 3 units of jelly beans and Adele has 1 unit more than her. Adele has 4 units.
Ratio of sweets of Adele to Emily = 4 : 3
②Emily has 3/5 less jelly beans than Nora.
3/5 is 3 out of 5.
So we can say that Nora has 5 units of jelly beans and Emily has 3 units less than her. Emily has 2 units.
Ratio of jelly beans of Emily to Nora = 2 : 5
Now we have a repeated identity, Emily. We should make her units the same number for both ratios, since it's for the same person.
The common multiple of 2 and 3 is 6.
We can change 4 : 3 into 8 : 6
We can change 2 : 5 into 6 : 15
Ratio of jelly beans of Adele to Emily = 8 : 6
Ratio of jelly beans of Emily to Nora = 6 : 15
Now we can write the ratio comparing all three girls.
Ratio of jelly beans of Adele to Emily to Nora = 8 : 6 : 15
Total number of units = 8+6+15 = 29
So 29 units = 58 jelly beans
1 unit = 58 jelly beans ÷ 29 = 2 jelly beans
Number of jelly beans Nora has = 15 units
= 15 x 2
= 30
①Adele has ⅓ more jelly beans than Emily.
⅓ is 1 out of 3.
So we can say that Emily has 3 units of jelly beans and Adele has 1 unit more than her. Adele has 4 units.
Ratio of sweets of Adele to Emily = 4 : 3
②Emily has 3/5 less jelly beans than Nora.
3/5 is 3 out of 5.
So we can say that Nora has 5 units of jelly beans and Emily has 3 units less than her. Emily has 2 units.
Ratio of jelly beans of Emily to Nora = 2 : 5
Now we have a repeated identity, Emily. We should make her units the same number for both ratios, since it's for the same person.
The common multiple of 2 and 3 is 6.
We can change 4 : 3 into 8 : 6
We can change 2 : 5 into 6 : 15
Ratio of jelly beans of Adele to Emily = 8 : 6
Ratio of jelly beans of Emily to Nora = 6 : 15
Now we can write the ratio comparing all three girls.
Ratio of jelly beans of Adele to Emily to Nora = 8 : 6 : 15
Total number of units = 8+6+15 = 29
So 29 units = 58 jelly beans
1 unit = 58 jelly beans ÷ 29 = 2 jelly beans
Number of jelly beans Nora has = 15 units
= 15 x 2
= 30