Question

Coach Brown bought 6 basketballs5, and 8 footballs. The basketballs andfootballs each cost d dollars. Theexpression d (8 + 6) gives the totalcost, in dollars, of the basketballs andfootballs. Use the DistributiveProperty to write this expressionanother way

Answer 1

Answer

Using the distributive property, we we can write the expression for the total cost of the balls as (8d + 6d) which can then be further simplified as 14d

d (8 + 6)

= (d × 8) + (d × 6)

= 8d + 6d

= 14d

Explanation

Coach Brown bought 6 basketballs and 8 footballs.

Each of these balls cost d dollars each.

So,

Total cost of the balls = d (8 + 16)

Using the distributive property which is used to open brackets such as

a (b + c) = (a × b) + (a × c) = ab + ac

So,

d (8 + 6)

= (d × 8) + (d × 6)

= 8d + 6d

= 14d

Hope this Helps!!!