Respuesta :
Let x represent number of basketball
Let x + 76 represent number of footballs.
x + (x + 76) = 318
x + x + 76 = 318
2x + 76 = 318
2x = 242
x = 121
Since we know the number of basketballs we can use the expression above to get the number of footballs
x + 76
= 121 + 76
= 197
Therefore there are 197 footballs.
Hope this helps!! :)
Let x + 76 represent number of footballs.
x + (x + 76) = 318
x + x + 76 = 318
2x + 76 = 318
2x = 242
x = 121
Since we know the number of basketballs we can use the expression above to get the number of footballs
x + 76
= 121 + 76
= 197
Therefore there are 197 footballs.
Hope this helps!! :)
The number of footballs that are for sales when its known that there are total 318 footballs and basketballs and there are 76 more footballs for sale than basketballs, is given by: Option C: 197
How to form mathematical expression from the given description?
You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Given that:
- Total number of basketballs and footballs in the considered sports center = 318 (assuming they're for sales, as rest of the question is talking about footballs and basketballs being for sales)
- Number of footballs = 76 + Number of basketballs
Assume that:
- Number of footballs = x
- Number of basketballs = y
Then we get two equations, as:
[tex]x+y = 318\\x = 76 + y[/tex]
Substituting the variable x in first equation by the expression obtained in second equation for x, we get:
[tex]x + y = 318\\(76 + y) + y = 318\\76 + 2y = 318\\\text{Subtracting 76 from both the sides}\\\\2y = 318 - 76 = 242\\\\\\2y = 242\\\\\text{Dividing both the sides by 2}\\\\y = \dfrac{242}{2} = 121[/tex]
Thus, we got: Number of basketballs = y = 121
Using this result and the first equation, we get:
[tex]x + 121 = 318\\x = 318 - 121 = 197[/tex] = number of footballs.
Thus, the number of footballs that are for sales when its known that there are total 318 footballs and basketballs and there are 76 more footballs for sale than basketballs, is given by: Option C: 197
Learn more about forming equations here:
https://brainly.com/question/11938672
Learn more about system of linear equations here:
https://brainly.com/question/13722693
#SPJ2
