Question

1. jacob is preparing a monthly budget. his net pay is $1,350 every two weeks, and his monthly rent is $936. what percentage of his monthly budget should jacob allocate for rent?

35%
32%
29%
38%

Explanation:

Step1: Calculate monthly net pay

Jacob gets $1,350 every two weeks. There are approximately 2 two - week periods in a month (since 4 weeks in a month, 4/2 = 2). So monthly net pay = $1,350×2 = $2,700.

Step2: Calculate percentage for rent

The formula for percentage is $\text{Percentage}=\frac{\text{Rent}}{\text{Monthly Net Pay}}×100\%$. Substitute rent = $936 and monthly net pay = $2,700. So $\text{Percentage}=\frac{936}{2700}×100\%$. First, simplify $\frac{936}{2700}=\frac{936\div 36}{2700\div 36}=\frac{26}{75}\approx0.3467$? Wait, no, wait, 936÷2700: 2700×0.32 = 864? No, 2700×0.32 = 2700×0.3+2700×0.02 = 810 + 54 = 864? Wait, no, my mistake. Wait, 1350 every two weeks, so in a month (4 weeks), he gets paid twice. So 1350×2 = 2700. Then rent is 936. So 936/2700 = 0.346666... No, that's not matching the options. Wait, maybe I made a mistake. Wait, 1350×2 = 2700. 936 divided by 2700: let's do 936÷2700. Divide numerator and denominator by 12: 78/225. Divide by 3: 26/75 ≈ 0.3467, which is 34.67%, but the options are 35%, 32%, 29%, 38%. Wait, maybe the number of pay periods is different? Wait, maybe in a month, there are 2.17 pay periods? No, the problem says "net pay is $1,350 every two weeks", so monthly (4 weeks) is 2 times. Wait, maybe I miscalculated 936/2700. Let's do 936 ÷ 2700: 2700 × 0.32 = 864, 2700×0.35 = 945. Oh! 2700×0.35 = 945, which is close to 936. 936 is 9 less than 945. So 936/2700 = (945 - 9)/2700 = 0.35 - 9/2700 = 0.35 - 0.003333... = 0.346666..., which is approximately 35%. Wait, but the options have 35%. Wait, maybe my initial calculation was wrong. Wait, 1350×2 = 2700. 936/2700 = 0.346666..., which is approximately 35%. So the answer should be 35%.
Wait, but let's recalculate: 1350 * 2 = 2700. 936 divided by 2700. Let's do 936 ÷ 2700:
2700 ) 9360.000 ( 3.466...
8100
----
12600
10800
----
18000
16200
----
18000
16200
----
1800
So 936/2700 = 0.3466..., which is 34.66%, which is approximately 35%. So the correct option is 35%.

Answer:

35%