Ahmed earns $1.50 for every video game he sells. When he sells one carton of 30 video game, he earns an additional $10. What is the minimum number of video games he has to sell in order to earn $450?
im so confused
1.50x + 10[x/30] >= 450
x >= 246.3
check:
1.50*246 + 10*8 = 449
His next sale will push him over $450
So the answer would be 247
To find the minimum number of video games Ahmed has to sell in order to earn $450, we need to set up an equation.
Let's determine Ahmed's earnings for selling one carton of 30 video games.
He earns $1.50 for each video game sold and an additional $10 for selling the whole carton.
So, his earnings for one carton can be calculated as: $1.50 x 30 + $10 = $45 + $10 = $55.
Now, let's set up an equation to represent Ahmed's earnings:
$55 × n = $450, where n represents the number of cartons he needs to sell and $55 is his earnings per carton.
To solve for n, we divide both sides of the equation by $55:
$55 × n ÷ $55 = $450 ÷ $55
This simplifies to:
n = $450 ÷ $55.
Calculating this value gives us:
n = 8.18 (rounded to two decimal places).
Since we cannot sell a fraction of a carton, Ahmed must sell at least 9 cartons of video games in order to earn a minimum of $450.
So, to find the minimum number of video games, we multiply the number of cartons (9) by the number of video games per carton (30):
9 × 30 = 270.
Therefore, the minimum number of video games Ahmed has to sell in order to earn $450 is 270.
270 Games
1.5 x 30 = 45
45 + 10 = 55
450/55 = 8.181818… which is about 9
Now multiply 9 by 30
You get 270
we need
1.50x + 10[x/30] >= 450
x >= 246.3
check:
1.50*246 + 10*8 = 449
His next sale will push him over $450