Answered

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Bob needs to make a resin. She
needs to mix glue, ethanol and
hardener in the ratio 1: 3:5 by
weight.
Bob wants to make 180 kg of resin
mix.
Bob has:
•
15 kg of glue
85 kg of ethanol
100 kg of hardener
Explain whether or not Bob has
enough glue, ethanol and hardener
to make the required amount of the
resin mix.

Sagot :

Sqdancefanidn

Answer:

  insufficient glue

Step-by-step explanation:

The recipe requires glue : ethanol : hardener = 1 : 3 : 5 by weight. You want to know if 15 kg glue, 85 kg ethanol, and 100 kg hardener are enough to make 180 kg of the resin.

Multiplier

We see that the total number of "ratio units" is 1 +3 +5 = 9. For 180 kg of resin, that means each one corresponds to (180 kg)/9 = 20 kg.

The recipe will require ...

  glue : ethanol : resin = 20 kg : 60 kg : 100 kg

Enough

Comparing these quantities to the quantities available, we see ...

  glue: need 20 kg, have 15 kg — not enough glue

  ethanol: need 60 kg, have 85 kg — sufficient ethanol

  hardener: need 100 kg, have 100 kg — sufficient hardener

Bob does not have enough glue to make the required resin mix.

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