There are 172 South American animals in the Springdale zoo, which is 45 more than half of the African animals in the zoo.
Write an equation you could use to find \( n \), the number of African animals in the zoo.
Answer (3)
This situation can be written as (where x is the number of African animals):
172 = 1/2 * x + 45 172 = 1/2x + 45 / - 45 (both sides) 127 = 1/2x / * 2 (both sides) x = 254
Doublecheck:
172 = 1/2 * 254 + 45 172 = 127 + 45 172 = 172
So it's correct :)
Answer: There are 254 African animals in the zoo.
To find the number of African animals in the zoo, set up the equation 172 = (1/2)n + 45 and solve for n, resulting in n = 254. Thus, there are 254 African animals in the zoo.
To find the number of African animals in the Springdale zoo, we can set up an equation based on the information given.
We know that the number of South American animals (172) is 45 more than half the number of African animals. Let's let n represent the number of African animals. The equation will be:
→ 172 = (1/2)n + 45
To solve for n, follow these steps:
→ Subtract 45 from both sides: 172 - 45 = (1/2)n
→ Simplify: 127 = (1/2)n
→ Multiply both sides by 2 to solve for n: 2 * 127 = n
→ Result: n = 254
So, there are 254 African animals in the zoo.
The equation to find the number of African animals n is 172 = 2 1 n + 45 , which simplifies to n = 254 . Therefore, there are 254 African animals in the zoo. This can be verified by checking the original conditions.
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