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 $131 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 $100 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 $35 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 $140 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
$ ___
Answer:_______________
5)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $108 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 1 : 2. After Cindy spent $58 to buy a dress, the ratio becomes 1 : 3 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 $113 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 $112 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 $30 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 $132 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
$ ___
Answer:_______________
1)
Caroline and Jonathan shared a sum of money in the ratio 2:3. After Caroline spent $131 to buy a dress, the ratio becomes 1:2 respectively. How much money did Jonathan have
Answer: $786
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
= $131
Step 2:
6 units
= 6 x $131
= $786
2)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $100 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $1500
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
= $100
Step 2:
15 units
= 15 x $100
= $1500
3)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $35 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
Answer: $525
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
= $35
Step 2:
15 units
= 15 x $35
= $525
4)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $140 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have
Answer: $525
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
= $140
1 unit
= $140 ÷ 4
= $35
Step 3:
15 units
= 15 x $35
= $525
5)
Cindy and Junxian shared a sum of money in the ratio 4 : 5. After Cindy spent $108 to buy a dress, the ratio becomes 1:2 respectively. How much money did Junxian have
Answer: $360
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
= $108
1 unit
= $108 ÷ 3
= $36
Step 3:
10 units
= 10 x $36
= $360
6)
Cindy and Junxian shared a sum of money in the ratio 1 : 2. After Cindy spent $58 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $348
SOLUTION 1 :
Before
:
1
:
2
3
:
6
After
:
1
:
3
2
:
6
Step 1:
3 units - 2 units
= 1 unit
1 unit
= $58
Step 2:
6 units
= 6 x $58
= $348
7)
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
8)
Cindy and Junxian shared a sum of money in the ratio 2 : 5. After Cindy spent $112 to buy a dress, the ratio becomes 1 : 3 respectively. How much money did Junxian have
Answer: $1680
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
= $112
Step 2:
15 units
= 15 x $112
= $1680
9)
Cindy and Junxian shared a sum of money in the ratio 2:5. After Cindy spent $30 to buy a dress, the ratio becomes 1:3 respectively. How much money did Junxian have
Answer: $450
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
= $30
Step 2:
15 units
= 15 x $30
= $450
10)
Carol and James shared a sum of money in the ratio 3:5. After Carol spent $132 to buy a dress, the ratio becomes 1:3 respectively. How much money did James have