Question

1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of varnish what quantity of mineral spirits will i need in ml ? 3-Robison's tapestries all measure 1.5m x 1m wide. Express the proportion of the tapestries' heights to width using whole numbers. Give the answer in ration.

Answer 1

Answer:

(1) The required ratio of spirit to varnish is 1:3.

(2) You need 80 ml of mineral spirit.

(3) The ratio of tapestries' heights to width is 3:2.

Step-by-step explanation:

(1) If you need to mix 25% mineral spirit to the varnish, then the solution would contain 25% mineral spirit and 75% varnish.

So, $\frac{spirit}{varnish}=\frac{25}{75}$

                  $=\frac{1}{3}$

Thus, The required ratio of spirit to varnish is 1:3.

(2) If you use 240ml of varnish, then this quantity is 75% of the total solution or ration of varnish to the total solution will be 3:4.

Let $x$ be the quantity of total solution.

Then, $240:x=3:4$.

⇒$\frac{240}{x}=\frac{3}{4}$

⇒$3x=240*4$

⇒$x=\frac{240*4}{3}$

⇒$x=320$

That is, total solution is 320 ml.

Now, Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Hence, if you use 240 ml of varnish, you need 80 ml of mineral spirit.

(3) Robison's tapestries all measure 1.5m long and 1m wide. First, we express dimensions in whole numbers by multiplying them by 10.

Then, dimensions are 15m long and 10m wide.

Now, Height : Width = 15:10

⇒$\frac{Height}{Width} =\frac{15}{10}$

⇒$\frac{Height}{Width} =\frac{3}{2}$

Hence, the ratio of tapestries' heights to width is 3:2.