Question

The equation 4x+6y=96 represents the number of packages of peaches x and bags of blueberries y that can be bought with $96 for making pies. If no peaches are bought, how many blueberries packages can be bought?

a) 12
b) 16
c) 18
d) 24

Answer 1

When no peaches are bought, the equation simplifies to 6y = 96. Dividing both sides by 6 gives us y = 16, so 16 blueberry packages can be bought with $96.

Step-by-step explanation:

If no peaches (x) are bought, the equation 4x + 6y = 96 simplifies to solving for y in 6y = 96, as x is 0. To find the number of blueberry packages (y) that can be bought with $96, we divide both sides of the equation by 6:

6y / 6 = 96 / 6

y = 16

So, if no peaches are bought, 16 packages of blueberries can be bought with $96.