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 1 : 2. After Cindy spent $64 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
2)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $133 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
$ ___
Answer:_______________
3)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $120 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
$ ___
Answer:_______________
4)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $78 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
$ ___
Answer:_______________
5)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $91 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
6)
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:_______________
7)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $136 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
8)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $113 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
$ ___
Answer:_______________
9)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $32 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
$ ___
Answer:_______________
10)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $63 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
$ ___
Answer:_______________
1)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $64 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $384
SOLUTION 1 :
Before
:
1
:
2
3
:
6
After
:
1
:
3
2
:
6
Step 1:
3 units - 2 units
= 1 unit
1 unit
= $64
Step 2:
6 units
= 6 x $64
= $384
2)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $133 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
Answer: $798
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
= $133
Step 2:
6 units
= 6 x $133
= $798
3)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $120 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
Answer: $450
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
= $120
1 unit
= $120 ÷ 4
= $30
Step 3:
15 units
= 15 x $30
= $450
4)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $78 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
Answer: $260
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
= $78
1 unit
= $78 ÷ 3
= $26
Step 3:
10 units
= 10 x $26
= $260
5)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $91 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $1365
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
= $91
Step 2:
15 units
= 15 x $91
= $1365
6)
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
7)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $136 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $816
SOLUTION 1 :
Before
:
1
:
2
3
:
6
After
:
1
:
3
2
:
6
Step 1:
3 units - 2 units
= 1 unit
1 unit
= $136
Step 2:
6 units
= 6 x $136
= $816
8)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $113 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
Answer: $678
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
= $113
Step 2:
6 units
= 6 x $113
= $678
9)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $32 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
Answer: $120
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
= $32
1 unit
= $32 ÷ 4
= $8
Step 3:
15 units
= 15 x $8
= $120
10)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $63 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have