Unit 9 Lesson 2: Exercise 2

1)Alex and his friend Denise shared $500 in such a way that Alex received $350. Find the ratio of each person’s share.

2) Daniel and his wife Doris share $400 in the ratio 3:5, how much does each receive?

3) Cynthia and Juana shared $2880 in the ratio 5:7 respectively. Cynthia then shared her money with her friends in the ratio 4:2. Find the amount her friends received.

4) Faris, Joseph and Fred shared $12960.  Faris received twice as much as  Fred and Joseph three times as much as Fred . How much did Joseph receive?

5) The length of the sides of a triangle is in the ratio 2:3:5. Find the length of each side if the perimeter is 110.

6) A man and a woman shared the price of $1000 between themselves in the ratio 1:4. The woman shares her part between herself and her daughter   in the ratio 1:3. How much does her receive?  

7) A cake of mass 550g has three main ingredients: flour, sugar and raisins. There is twice as much flour as sugar and half times as much sugar as raisins. How much flour is there?

8) A brother and a sister share out their collection of 504 stamps in the ratio 5:3. The brother then shared his part with two friends in the ratio 5:3:2, keeping most for himself. How many stamps does each of his friends receive?

9) In a class of 28 students the ratio of boys to girls is 4:3. If two boys leave the class and they are replaced by two new girls what does the ratio of boys to girls becomes?

10) Michael, Dagmar and Sarah bought a “12 lotto special entry” by contributing $5 $4and $3 respectively. How much more than Dagmar should Michael receive from the winning of 588,000 if they agreed to share according to the ratio they contributed