The market sold 24 heads of lettuce one morning. That afternoon 2/7 of the remaining heads of lettuce were sold. The number of heads left now was 1/2 of ye numbet the market haf at the beginning of yhe day. How many heads of lettuce were there at the beginning of the day.
I don't get this too, can you help me too? Im a fifth grader too so I cant do Algebra.
X Heads to start with.
(X-24) = Bal.
(X-24) - 2/7(X-24) = 5/7(x-24).
5/7(X-24) = X/2
Multiply both sides by 14:
10x-240 = 7x
3x = 240
X = 80 Heads of lettuce.
24 {heads of lettuce} x 2/7 [percentage sold in the afternoon] = 48
48 x 5/7 [amount remaining] = 240/7
(240/7) divided by (3/7)[remainder of 5/7-2/7=3/7]
240/7 x 7/3
= 240 divided by 3 = 80 heads of lettuce [the 7's cancels out]
ANSWER 80 HEADS OF LETTUCE
To find the number of heads of lettuce at the beginning of the day, we need to break down the information and solve step by step.
Let's go through it together:
1. The market sold 24 heads of lettuce in the morning.
So, the amount of lettuce remaining after the morning sales would be the total number at the beginning of the day minus 24.
2. In the afternoon, 2/7 of the remaining heads of lettuce were sold.
To calculate this, we need to multiply the fraction 2/7 by the initial remaining heads of lettuce.
The result will be subtracted from the remaining heads of lettuce after the morning sales.
3. The number of heads left now was 1/2 of the number the market had at the beginning of the day.
This means that the remaining heads of lettuce after the afternoon sales are equal to half the original number.
To find the original number of heads of lettuce, we can set up an equation.
Let's say x represents the original number of heads of lettuce:
(x - 24) - (2/7)(x - 24) = (1/2)x
Now, we can solve this equation step by step to find the value of x.
(x - 24) - (2/7)(x - 24) = (1/2)x
Multiply through by 14 to eliminate the fractions:
14(x - 24) - 4(x - 24) = 7x
14x - 336 - 4x + 96 = 7x
Simplify and combine like terms:
10x - 240 = 7x
Subtract 7x from both sides:
3x - 240 = 0
Add 240 to both sides:
3x = 240
Divide both sides by 3:
x = 80
Therefore, the original number of heads of lettuce at the beginning of the day was 80.