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 2:5. After Cindy spent $132 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
$ ___
Answer:_______________
2)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $125 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
3)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $28 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 1 : 2. After Cindy spent $143 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
5)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $81 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
$ ___
Answer:_______________
6)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $46 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
$ ___
Answer:_______________
7)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $79 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
$ ___
Answer:_______________
8)
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:_______________
9)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $124 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 1 : 2. After Cindy spent $86 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
1)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $132 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
Answer: $1980
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
= $132
Step 2:
15 units
= 15 x $132
= $1980
2)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $125 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $1875
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
= $125
Step 2:
15 units
= 15 x $125
= $1875
3)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $28 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
Answer: $105
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
= $28
1 unit
= $28 ÷ 4
= $7
Step 3:
15 units
= 15 x $7
= $105
4)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $143 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $858
SOLUTION 1 :
Before
:
1
:
2
3
:
6
After
:
1
:
3
2
:
6
Step 1:
3 units - 2 units
= 1 unit
1 unit
= $143
Step 2:
6 units
= 6 x $143
= $858
5)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $81 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
Answer: $270
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
= $81
1 unit
= $81 ÷ 3
= $27
Step 3:
10 units
= 10 x $27
= $270
6)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $46 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
Answer: $276
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
= $46
Step 2:
6 units
= 6 x $46
= $276
7)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $79 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
Answer: $1185
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
= $79
Step 2:
15 units
= 15 x $79
= $1185
8)
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
9)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $124 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
Answer: $465
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
= $124
1 unit
= $124 ÷ 4
= $31
Step 3:
15 units
= 15 x $31
= $465
10)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $86 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have