At a diner, the cost of a muffin (m) and a cup of tea (t) is $2.10. The cost for two muffins and 3 cups of tea is $5.15. How much does a muffin and a cup of tea cost?

ok so one muffin and one cup of teat cost $2.10 ok now I did guess and check and I got one muffin cost $1.15 and one cup of tea is $.95

1.15*2=2.30

.95*3=2.85

2.30+2.85=5.15

Step-by-step explanation:

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step-by-step explanation:

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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