If me and my husband want to save 75000 over the next 13 years and I make 25 dollars and hour and he makes 12 dollars an hour how do I write this in a word problem involving a system of equations

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When they work the same duration, the time the husband and wife works is approximately 2,071 hours each

When they contribute the same amount, the wife, works for x = 1,500 hours, while the husband works for y = 3,125 hours

Step-by-step explanation:

The amount the couple intends to save in 13 years = $75,000

The amount the wife makes  per hour = $25

The amount the husband makes per hour = $12

The number of working hours in 13 years is given as follows;

Total number of hours = 40 hr/week × 52 weeks/year × 13 years = 27,040 hours

However, when the husband alone works, we have;

75,000/12 = 6,250 hours

Let 'x' and 'y' represent the number of hours the wife and husband works respectively, we have the following system of equations;

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When the couple work equal times

25·x + 12·y = 75,000...(1)

x = y...(2)

From equation (1), we have;

25·x + 12·y = 75,000

25·x + 12·x = 75,000

x = 75,000/37 ≈ 2,071 hours = y

The number of hours each will work is approximately 2,071 hours

When the husband and wife contribute the same amount, we have;

25·x = 12·y = 75,000/2

x = 75,000/(2 × 25) = 1,500

∴ x = 1,500 hours

The number of hours the wife works = 1,500 hours

y = 75,000/(2 × 12) = 3,125

∴ y = 3,125 hours

The number of hors the husband works = 3,125 hours

the answer is 96 degrees

step-by-step explanation:

you have to realize that a line equals 180 degrees

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step-by-step explanation:

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