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)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $69 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
$ ___
Answer:_______________
2)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $66 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 $23 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
4)
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:_______________
5)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $88 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
$ ___
Answer:_______________
6)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $144 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
$ ___
Answer:_______________
7)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $28 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
$ ___
Answer:_______________
8)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $63 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 $81 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
10)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $30 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
$ ___
Answer:_______________
1)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $69 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
Answer: $414
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
= $69
Step 2:
6 units
= 6 x $69
= $414
2)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $66 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
Answer: $990
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
= $66
Step 2:
15 units
= 15 x $66
= $990
3)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $23 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $345
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
= $23
Step 2:
15 units
= 15 x $23
= $345
4)
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
5)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $88 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
Answer: $330
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
= $88
1 unit
= $88 ÷ 4
= $22
Step 3:
15 units
= 15 x $22
= $330
6)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $144 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
Answer: $480
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
= $144
1 unit
= $144 ÷ 3
= $48
Step 3:
10 units
= 10 x $48
= $480
7)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $28 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
Answer: $168
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
= $28
Step 2:
6 units
= 6 x $28
= $168
8)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $63 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
Answer: $945
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
= $63
Step 2:
15 units
= 15 x $63
= $945
9)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $81 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $1215
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
= $81
Step 2:
15 units
= 15 x $81
= $1215
10)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $30 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have