Question

Q1 Kate is responsible for reordering and overseeing the cleaning chemicals that are used as part of her workplace's weekly clean. She must ensure the strict manufacturer's guidelines are followed. The guidelines state that the ratio of chemicals is mixed as 3:8 when mixing substances A and B. During her weekly stock take, she notes that there are 63 litres of chemical B, but she is not sure if she has enough of A.How many litres of chemical A does Kate need?

Answer 1

To maintain the mixing ratio of 3:8 for chemicals A to B, and with 63 litres of chemical B available, Kate needs 23.625 litres of chemical A.

Step-by-step explanation:

The question asks how many litres of chemical A does Kate need, given that she has 63 litres of chemical B and needs to mix A and B in the ratio 3:8. To solve this, we use the concept of ratios. For every 8 parts of B, we need 3 parts of A. Therefore, if Kate has 63 litres of B, we can divide this by 8 to find out how many times 8 litres fit into 63 litres, which is the same as a single part in the ratio.

63 ÷ 8 = 7.875

Now that we know a single part is 7.875 litres, we need to multiply this by 3 to get the volume required for A, since the ratio of A to B is 3:8.

7.875 × 3 = 23.625

Kate needs 23.625 litres of chemical A to adhere to the strict guidelines of a 3:8 ratio when mixing her cleaning chemicals.