Stuart has two bags of apples. Bag A contains t apples.
Bag B contains 30% fewer apples than bag A.
The expression t - 0.30t can be used to find the number of apples in bag B.
Stuart correctly simplies the expression until it has just one term. What is
the coefficient of t in Stuart's simplified expression?

A) 1.30
B)0.30
C)0.40
D) 0.70

eve and marks ratios are equivalent

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4