For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
1)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $123 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
$ ___
Answer:_______________
2)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $68 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
3)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $48 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
4)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $104 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
$ ___
Answer:_______________
5)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $116 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
$ ___
Answer:_______________
6)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $109 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
$ ___
Answer:_______________
7)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $30 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
$ ___
Answer:_______________
8)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $123 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
9)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $58 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
10)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $60 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
$ ___
Answer:_______________
1)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $123 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
Answer: $410
SOLUTION 1 :
Before
Cindy
:
Junxian
4
:
5
8
:
10
After
Cindy
:
Junxian
1
:
2
5
:
10
Step 1:
8 units - 5 units
= 3 units
Step 2:
3 units
= $123
1 unit
= $123 ÷ 3
= $41
Step 3:
10 units
= 10 x $41
= $410
2)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $68 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $408
SOLUTION 1 :
Before
:
1
:
2
3
:
6
After
:
1
:
3
2
:
6
Step 1:
3 units - 2 units
= 1 unit
1 unit
= $68
Step 2:
6 units
= 6 x $68
= $408
3)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $48 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $720
SOLUTION 1 :
Before
Cindy
:
Junxian
2
:
5
6
:
15
After
Cindy
:
Junxian
1
:
3
5
:
15
Step 1:
6 units - 5 units
= 1 unit
1 unit
= $48
Step 2:
15 units
= 15 x $48
= $720
4)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $104 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
Answer: $390
SOLUTION 1 :
Before
Carol
:
James
3
:
5
9
:
15
After
Carol
:
James
1
:
3
5
:
15
Step 1:
9 units - 5 units
= 4 units
Step 2:
4 units
= $104
1 unit
= $104 ÷ 4
= $26
Step 3:
15 units
= 15 x $26
= $390
5)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $116 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
Answer: $696
SOLUTION 1 :
Before
Caroline
:
Jonathan
2
:
3
4
:
6
After
Caroline
:
Jonathan
1
:
2
3
:
6
Step 1:
4 units - 3 units
= 1 unit
1 unit
= $116
Step 2:
6 units
= 6 x $116
= $696
6)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $109 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
Answer: $1635
SOLUTION 1 :
Before
Cindy
:
Junxian
2
:
5
6
:
15
After
Cindy
:
Junxian
1
:
3
5
:
15
Step 1:
6 units - 5 units
= 1 unit
1 unit
= $109
Step 2:
15 units
= 15 x $109
= $1635
7)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $30 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
Answer: $100
SOLUTION 1 :
Before
Cindy
:
Junxian
4
:
5
8
:
10
After
Cindy
:
Junxian
1
:
2
5
:
10
Step 1:
8 units - 5 units
= 3 units
Step 2:
3 units
= $30
1 unit
= $30 ÷ 3
= $10
Step 3:
10 units
= 10 x $10
= $100
8)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $123 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $738
SOLUTION 1 :
Before
:
1
:
2
3
:
6
After
:
1
:
3
2
:
6
Step 1:
3 units - 2 units
= 1 unit
1 unit
= $123
Step 2:
6 units
= 6 x $123
= $738
9)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $58 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $870
SOLUTION 1 :
Before
Cindy
:
Junxian
2
:
5
6
:
15
After
Cindy
:
Junxian
1
:
3
5
:
15
Step 1:
6 units - 5 units
= 1 unit
1 unit
= $58
Step 2:
15 units
= 15 x $58
= $870
10)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $60 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have