Marianne has been collecting donations for her biscuit stall at the school summer fayre. there are some luxury gift tins of biscuits to be sold at £5 each, normal packets at £1 each, and minipacks of 2 biscuits at 10p each. she tells amy that she has received exactly 100 donations in total, with a collective value of £100, and that her stock of £1 packets is very low compared with the other items. amy wants to work out how many of each item marianne has. show how she can do it.

Start with the highest number of the luxury gift tins with a total cost below £100:

19 * £5 = £95

Assume lowest number of normal biscuits:

1 * £1 = £1

Calculate the number of minipacks needed to make up the difference:

40 * 10p = £4

However, the total number of items is 60. Therefore, progressively reduce the number of luxury gift tins by 1, increase the number of normal biscuits by 1, and make up the difference in minibiscuits:

18   *£5  = £90

2 * £1 = £2

80 * 20p = £8

cant see photo

step-by-step explanation:

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough