Bryson is picking green beans. He has already picked 1 and one-fourth bushels and picks at a rate of StartFraction 7 Over 8 EndFraction of a bushel each hour. The equation StartFraction 7 Over 8 EndFraction h + 1 and one-fourth = 6 can be used to represent h, the number of hours it will take him to pick 6 bushels. What is the value of h?
4 and StartFraction 5 Over 32 EndFraction hours
5 and StartFraction 3 Over 7 EndFraction hours
5 and StartFraction 17 Over 28 EndFraction hours
8 and StartFraction 2 Over 7 EndFraction hours
geez - ever hear of actually typing fractions normally, like 1/2 or 2/3 ?
7/8 h + 1 1/4 = 6
multiply by 8 to get
7h + 10 = 48
Now solve for h
sorry i will try better @oobleck i copied and pasted it so it looks really bad sorry
To find the value of h in the equation, we need to solve for h.
Given that Bryson has already picked 1 and one-fourth bushels, we can represent this as 1 and 1/4, which can also be written as 5/4.
The equation given is (7/8)h + 5/4 = 6.
To solve for h, we need to isolate it on one side of the equation. We can start by subtracting 5/4 from both sides:
(7/8)h + 5/4 - 5/4 = 6 - 5/4.
Simplifying this, we get:
(7/8)h = 6 - 5/4.
Now, we need to find a common denominator for 6 and 5/4. The common denominator is 4.
(7/8)h = (24/4) - (5/4).
Simplifying this further, we get:
(7/8)h = 19/4.
To isolate h, we will multiply both sides of the equation by the reciprocal of (7/8), which is (8/7). This will cancel out the (7/8) on the left side, leaving us with h.
h = (19/4) * (8/7).
Multiplying the numerators and denominators, we get:
h = (19 * 8) / (4 * 7).
Simplifying this, we get:
h = 152/28.
Now, we need to convert the fraction into a mixed number.
Dividing 152 by 28, we get a quotient of 5 and a remainder of 17.
Therefore, h = 5 and 17/28.
So, the value of h is 5 and 17/28 hours.