Question

A plant food recipe calls for 1 1/2 cups of fertilizer for every 3 3/4 cups of water. If a gardener makes a 42 cup of plant food using the proportions of the recipe which statement is true

Answer 1

Step-by-step explanation:

Firstly we need to ratio the fertilizer to plant food:

$1\frac{1}{2} : 3 \frac{3}{4}$

Lets add these two values together:

$1\frac{1}{2} + 3 \frac{3}{4} = 5 \frac{1}{4}$

So now we know one of each, we can divide the above value into 42 to find out the amount:

42 ÷ $5\frac{1}{4}$ = 8

So this means that 8 portions of each can be used. This can calculate the full ratio by multiplying each ratio by 8:

$(1\frac{1}{2} * 8) : (3 \frac{3}{4} * 8)$ =

12 : 30

You have not included the statements although I hope you can decide which statement is true via the explanation above, feel free to comment the different statements if need be.

Hope this helps!