If A:B=8:13, B:C=5:8 and C:D=4:5, then A:B:C:D is equal to:
- A20 : 50 : 105 : 119
- B38 : 65 : 111 : 120
- C40 : 60 : 103 : 112
- D40 : 65 : 104 : 130
Solution & Step-by-step Explanation
To combine the ratios, we first need to equate the common terms across ratios step-by-step.
Given:
A:B=8:13
B:C=5:8
C:D=4:5
Let's make the term B common between the first two ratios. The LCM of 13 and 5 is 65.
Multiply A:B by 5: A:B=40:65
Multiply B:C by 13: B:C=65:104
Now we combine them to get:
A:B:C=40:65:104
Next, we match C between A:B:C and C:D=4:5.
The value of C in our combined ratio is 104. We need to make the value of C in C:D equal to 104.
104÷4=26
Multiply C:D by 26:
C:D=(4×26):(5×26)=104:130
Combining all together:
A:B:C:D=40:65:104:130
Given:
A:B=8:13
B:C=5:8
C:D=4:5
Let's make the term B common between the first two ratios. The LCM of 13 and 5 is 65.
Multiply A:B by 5: A:B=40:65
Multiply B:C by 13: B:C=65:104
Now we combine them to get:
A:B:C=40:65:104
Next, we match C between A:B:C and C:D=4:5.
The value of C in our combined ratio is 104. We need to make the value of C in C:D equal to 104.
104÷4=26
Multiply C:D by 26:
C:D=(4×26):(5×26)=104:130
Combining all together:
A:B:C:D=40:65:104:130