Write an equation and solve if possible please:
1.) You make 20 silk flower arrangements and plan to sell them at a craft show. Each flower arrangment costs $12 in materials, and your booth at the craft show costd $30. If you sell the arrangments for $24 each, how many must you sell to make at least $100 profit?
2.) If 4.26 Ib of chicken costs $6.77, what would 3.75 Ib of chicken cost?
your profit would be your returns from sales minus the expenses, so ....
if you sell x arrangements
24x - 12x - 30 > 100
solve this inequation
Sure! Let's solve these one by one.
1.) To find out how many flower arrangements you need to sell to make at least $100 profit, we first need to calculate the total cost of making the arrangements and then determine the revenue needed to cover that cost plus the desired profit.
Let's break it down:
Cost of making one flower arrangement = cost of materials + booth cost
= $12 + $30
= $42
To make at least $100 profit, the revenue needed will be:
Revenue needed = total cost + desired profit
= $42 + $100
= $142
Now, we can calculate the number of flower arrangements needed to be sold by dividing the revenue by the selling price:
Number of flower arrangements = revenue needed / selling price
= $142 / $24
≈ 5.92
Since we cannot have a fraction of a flower arrangement, we round up to the nearest whole number. Therefore, you need to sell at least 6 flower arrangements to make a profit of at least $100.
2.) To determine the cost of 3.75 lbs of chicken, we can set up a proportion using the given information:
Let's define the cost of chicken per pound as "C".
The proportion will be:
4.26 lbs / $6.77 = 3.75 lbs / C
To solve for C, we cross-multiply:
4.26 * C = 3.75 * $6.77
Now, divide both sides of the equation by 4.26:
C = (3.75 * $6.77) / 4.26
Calculating the right side of the equation:
C = $25.3875 / 4.26
C ≈ $5.95
Therefore, 3.75 lbs of chicken would cost approximately $5.95.