Respuesta :
Answer:
A system of equations that allows you to solve for how many bags of each candy Oscar bought is [tex]16x+8(x+5)=400[/tex] and The number of bags of lemon drops and number of bags of beans are 15 and 20 respectively
Step-by-step explanation:
Let x be the number of bags of lemon drops
We are given that The number of bags of beans was 5 more than the number of bags of lemon drops
So, The number of bags of beans =x+5
Jelly bean bags weigh 8 ounces, and drop bags weigh 16 ounces each.
So, Weight of x bags of lemon drops = 16x
So, Weight of (x+5) bags of lemon drops = 8(x+5)
The total weight of all the bags of candy was 400 ounces.
So, [tex]16x+8(x+5)=400[/tex]
[tex]16x+8x+40=400[/tex]
[tex]24x+40=400[/tex]
[tex]24x=360[/tex]
[tex]x=\frac{360}{24}[/tex]
x= 15
The number of bags of lemon drops are 15
The number of bags of beans =x+5 =15+5=20
Hence a system of equations that allows you to solve for how many bags of each candy Oscar bought is [tex]16x+8(x+5)=400[/tex] and The number of bags of lemon drops and number of bags of beans are 15 and 20 respectively
