Answer:
1. 32
Step 1: Our output value is 160.
Step 2: We represent the unknown value with x
Step 3: From step 1 above, 160 = 100%
Step 4: Similarly, x = 20%
Step 5: This results in a pair of simple equations:
160 = 100% (1).
x = 20% (2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
160/x = 120%/20%
Step 7: Again, the reciprocal of both sides gives
x/160 = 20/120
Therefore, 20% of 160 is 32
2. 24
Step 1: Our output value is 96..
Step 2: We represent the unknown value with x
Step 3: From step 1 above, 96 = 100%
Step 4: Similarly, x = 25%
Step 5: This results in a pair of simple equations:
96 = 100% (1).
x = 25% (2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
96/x
100%/25%
Step 7: Again, the reciprocal of both sides gives
x/96
25/100
x = 24
Therefore, 25% of 96 is 24.
3. 12
Step 1: Our output value is 80.
Step 2: We represent the unknown value with x
Step 3: From step 1 above, 80 = 100%
Step 4: Similarly, x = 15%
Step 5: This results in a pair of simple equations:
80 = 100% (1)
x = 15% (2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
80/× = 100%/15%
Step 7: Again, the reciprocal of both sides gives
x/80 = 15/100
x = 12
Therefore, 15% of 80 is 12
4. 35
Step 1: Our output value is 70.
Step 2: We represent the unknown value with x
Step 3: From step 1 above, 70 = 100%
Step 4: Similarly, x = 50%
Step 5: This results in a pair of simple equations:
70 = 100% (1)
x = 50% (2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
70/x = 100%/50%
Step 7: Again, the reciprocal of both sides gives
x/70 = 50/100
x = 35
Therefore, 50% of 70 is 35
5. 6
Step 1: Our output value is 20..
Step 2: We represent the unknown value with x
Step 3: From step 1 above, 20 = 100%
Step 4: Similarly, x = 30%
Step 5: This results in a pair of simple equations:
20 = 100% (1)
x = 30% (2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
20/x = 100%/30%
Step 7: Again, the reciprocal of both sides gives
x/20 = 30/100
x = 6
Therefore, 30% of 20 is 6
6. 30
Step 1: Our output value is 40.
Step 2: We represent the unknown value with x
Step 3: From step 1 above, 40 = 100%
Step 4: Similarly, x = 75%
Step 5: This results in a pair of simple equations:
40 = 100%
x = 75%
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
40/x = 100%/75%
Step 7: Again, the reciprocal of both sides gives
x/40 = 75/100
x = 30
Therefore, 75% of 40 is 30.
7. .65
Step 1: Our output value is 100.
Step 2: We represent the unknown value with x
Step 3: From step 1 above, 100 = 100%
Step 4: Similarly, x = .65%
Step 5: This results in a pair of simple equations:
100 = 100% (1)
x = .65% (2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
100/x = 100%/65%
Step 7: Again, the reciprocal of both sides gives
x/100 = 65/100
x = 0. 65%
Therefore, 65% of 100 is 65
8. 200
Step 1: Our output value is 100
Step 2: We represent the unknown value with x
Step 3: From step 1 above, 100. = 100%
Step 4: Similarly, x = 200%
Step 5: This results in a pair of simple equations:
100 = 100% (1)
x = 200% (2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
100/x = 100%/200%
Step 7: Again, the reciprocal of both sides gives
x/100 = 200/100
x = 200
Therefore, 200% of 100 is 200
9. 125
Step 1: Our output value is 100.
Step 2: We represent the unknown value with x
Step 3: From step 1 above, 100 = 100%
Step 4: Similarly, x = 125%
Step 5: This results in a pair of simple equations:
100 = 100% (1)
x = 125% (2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
100/x = 100%/125%
Step 7: Again, the reciprocal of both sides gives
x/100 = 125/100
x = 125
Therefore, 125% of 100 is 125
Hope it helps,
#CarryOnLearning
