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 $147 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 $23 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 $116 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 $37 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 $42 to buy a dress, the ratio becomes 1:2 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 $138 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 2:5. After Cindy spent $129 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 $34 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 $24 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 $27 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 $147 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
Answer: $2205
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
= $147
Step 2:
15 units
= 15 x $147
= $2205
2)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $23 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
Answer: $138
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
= $23
Step 2:
6 units
= 6 x $23
= $138
3)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $116 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
Answer: $435
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
= $116
1 unit
= $116 ÷ 4
= $29
Step 3:
15 units
= 15 x $29
= $435
4)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $37 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $222
SOLUTION 1 :
Before
:
1
:
2
3
:
6
After
:
1
:
3
2
:
6
Step 1:
3 units - 2 units
= 1 unit
1 unit
= $37
Step 2:
6 units
= 6 x $37
= $222
5)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $42 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
Answer: $140
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
= $42
1 unit
= $42 ÷ 3
= $14
Step 3:
10 units
= 10 x $14
= $140
6)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $138 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $2070
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
= $138
Step 2:
15 units
= 15 x $138
= $2070
7)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $129 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
Answer: $1935
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
= $129
Step 2:
15 units
= 15 x $129
= $1935
8)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $34 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
Answer: $204
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
= $34
Step 2:
6 units
= 6 x $34
= $204
9)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $24 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
Answer: $90
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
= $24
1 unit
= $24 ÷ 4
= $6
Step 3:
15 units
= 15 x $6
= $90
10)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $27 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have