There are F cups of flour in a bag. First, 3/8 of the flour in the bag was used. Then, 1/5 of the remaining flour was used. At that point, there were 10 cups of flour in the bag. Write an equation involving F that corresponds to this situation
Can someone help me and explain this problem please? I got 5/8F - 4/5 = 10, but I got it wrong
To solve this problem, let's break it down step by step:
Step 1: First, 3/8 of the flour in the bag was used.
This means that (1 - 3/8) = 5/8 of the flour is still remaining in the bag.
Step 2: Then, 1/5 of the remaining flour was used.
This means that (1 - 1/5) = 4/5 of the remaining flour is still in the bag.
Step 3: At this point, there were 10 cups of flour in the bag.
Since the amount of remaining flour in the bag is 4/5, we can set up an equation based on the information given:
(4/5)F = 10
Here F represents the total amount of flour in the bag.
To solve this equation for F, we can multiply both sides of the equation by the reciprocal of 4/5, which is 5/4:
(4/5)F * (5/4) = 10 * (5/4)
Simplifying, we get:
F = 50/4
So, the equation corresponding to this situation is F = 50/4.
It was 1/5 of the remaining flour. That gives you
5/8 F - 1/5 * 5/8 F = 10