Question

3
Edwin is collecting glass beads and gold buttons. The glass beads are worth $0.50 each and the gold buttons
are worth $0.70 each. His total collection is worth $35. The number of glass beads he has is represented by g.
and the number of gold buttons he has is represented by b. The equation 0.50g +0.70b = 35 can be used to
determine how many of each item he has.
Select all of the possible bead and button combinations based on the above criteria.
g= 70, b = 0
g=52, b = 10
g= 56, b'= 10
8= 42, b = 20
g=0, b= 100
no

Answer 1

9514 1404 393

Answer:

  (g, b) = (70, 0), (56, 10), (42, 20)

Step-by-step explanation:

The g-intercept is 35/0.5 = 70, so (g, b) = (70, 0) is a possible combination.

The slope of the relation is such that when g goes down by 14, b goes up by 10. Other points on the line are (70 -14, 0 +10) = (56, 10) and (56 -14, 10 +10) = (42, 20).

Of those listed, the possible combinations are ...

  (g, b) = (70, 0), (56, 10), (42, 20)