asked 5.9k views
3 votes
If A =12 and 120% of A equal to 80% of B, then what is A+B

2 Answers

3 votes
Answer:

A+B equals 30.

Step by step explanation:

We can start by finding the value of B using the given information:

120% of A = 1.2 * A = 1.2 * 12 = 14.4

80% of B = 0.8 * B

Since we know that 120% of A is equal to 80% of B, we can set up the equation:

1.2 * A = 0.8 * B

Substituting the value of A, we get:

1.2 * 12 = 0.8 * B

Simplifying this equation, we get:

B = (1.2 * 12) / 0.8 = 18

Now we can find the sum of A and B:

A + B = 12 + 18 = 30

Therefore, A+B equals 30.
answered
User Rahul Khurana
by
8.1k points
2 votes

So,

120% is the same as 1.2 or 6/5. 80% is the same as 0.8 or 4/5.

We are given the value of a, which is 12.

6/5 of a, or 1.2 times a, is equal to 4/5 of b, or 4/5 times b.


(6)/(5) (12)=(4)/(5) b

Simplify.


(72)/(5) =(4)/(5) b

Multiply both sides by 5/4.


(72)/(4) \ \text{or} \ 18=b

Therefore, the sum of a and b is 12 + 18 = 30.

answered
User Jishi
by
8.3k points

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