# Thread: Fraction word problem...I need help!

1. ## Fraction word problem...I need help!

Imagination Ink supplies different colored inks for highlighter pens. Vat 1 has yellow ink, holds 150 gallons and is 4/5 full. Vat 2 has green ink, holds 50 gallons, and is 5/8 full. One gallon of ink will fill 1,200 pens. How many pens can be filled with the existing ink in Vat 1 and Vat 2?

My teacher gave the answer and it is 181,500 pens. I just don't understand how he got that answer. Can someone help me please?

2. ## Word problem

Hello jpl123

Welcome to Math Help Forum!
Originally Posted by jpl123
Imagination Ink supplies different colored inks for highlighter pens. Vat 1 has yellow ink, holds 150 gallons and is 4/5 full. Vat 2 has green ink, holds 50 gallons, and is 5/8 full. One gallon of ink will fill 1,200 pens. How many pens can be filled with the existing ink in Vat 1 and Vat 2?

My teacher gave the answer and it is 181,500 pens. I just don't understand how he got that answer. Can someone help me please?
Vat 1 has $\tfrac45$ of $150$ gallons = $120$ gallons.

Vat 2 has $\tfrac58$ of $50$ gallons = $31.25$ gallons

So the total volume is $120 + 31.25$ gallons = $151.25$ gallons

Each gallon will fill $1200$ pens. So the total number of pens is $151.25 \times 1200 = 181500$ pens

3. Originally Posted by jpl123
Imagination Ink supplies different colored inks for highlighter pens. Vat 1 has yellow ink, holds 150 gallons and is 4/5 full. Vat 2 has green ink, holds 50 gallons, and is 5/8 full. One gallon of ink will fill 1,200 pens. How many pens can be filled with the existing ink in Vat 1 and Vat 2?

My teacher gave the answer and it is 181,500 pens. I just don't understand how he got that answer. Can someone help me please?
ok
you have
Vat1:150 gallons 4/5 full
Vat2:50 gallons 5/8 full

each gallon fill 1200 pen so if I ask you 150 gallon how many pen produce ??
(1200)(150) right.... but what ??
4/5 is full from the pens produced so
4/5(1200)(150) right??

it is the same for the other Vat do the same thing then find the sum of the produced pen from two Vat try it I try and I find the answer

4. Thanks for the help! Greatly appreciated!