A tea shop owner wishes to blend 2.50/g tea with 3.25/g tea to produce a blend selling for 3/g. How much of each should be used to produce 7.5 kg of the blend?
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Find the composition of each of the tea:
Portion of first tea is: first tea weight / total weight
= 2.5 / (2.5+ 3.25)
= 2.5 / 5.75
= 0.4348
1st tea weight for the 7.5kg blend = Portion of first tea x 7.5 kg
= 0.4348 x 7.5
= 3.261 kg
2nd tea weight = 7.5 kg - 1st tea weight
= 7.5 kg - 3.261 kg
= 4.239 kg