Question

Question #51b99

Answer 1

See a solution process below:

Explanation:

1 dozen is 12, therefore 3 dozen is `3 xx 12 = 36`

We can write the correlation:

`(1.5"tsp")/8 = b/36`

Multiply each side of the equation by `color(red)(36)` to solve for `b` while keeping the equation balanced:

`color(red)(36) xx (1.5"tsp")/8 = color(red)(36) xx b/36`

`(54"tsp")/8 = cancel(color(red)(36)) xx b/color(red)(cancel(color(black)(36)))`

`((2 xx 27)"tsp")/(2 xx 4) = b`

`((color(red)(cancel(color(black)(2))) xx 27)"tsp")/(color(red)(cancel(color(black)(2))) xx 4) = b`

`27/4"tsp" = b`

`(24 + 3)/4"tsp" = b`

`(24/4 + 3/4)"tsp" = b`

`(6 + 3/4)"tsp" = b`

`6 3/4"tsp" = b`

The answer is: b. 6 and 3 fourths tsp

Answer 2

B

Explanation:

Given:
8 jumbo blueberry muffins need 1.5 tsp of baking powder
3 dozen (36 pcs) need how many tsp of baking powder?

`36   "muffins" * (1.5   tsp)/(8   "muffins") = (54)/8 = 6 6/8 = 6 3/4`

Another way of looking at this is ratio and proportion.
Let x = amount of baking powder needed for 3 dozen

`(1.5   tsp)/(8   "muffins") = x/(36   "muffins")`

`x = ((1.5   tsp)*(36   "muffins"))/(8   "muffins")`

`x = (54)/8 = 6 3/4`