196k views
2 votes
Help me please with this word problem and fill in blanks !!

Help me please with this word problem and fill in blanks !!-example-1
User BaldyHDL
by
7.7k points

1 Answer

3 votes

This is pretty much the same as the last one I did. I'll go slow.

We have two numbers we're looking for, so we give them letters. Let's call them a for arbequina and g for green; they're the respective amounts in pounds.

In these problems we're give a total for a+g and then another total, which is going to be something times a plus something times g. Here we have

a + g = 8

That says the two kinds of olives together weight 8 pounds.

9 a + 25 g = 8(15) = 120

This second equation says if we sell the arbequina for $9 a pound and the green for $25 a pound we'll get $120, which is $15 a pound times eight pounds.

Once the equations are set up we solve by eliminating one of the variables.

g = 8 - a

9 a + 25 (8 - a) = 120

9 a + 200 - 25 a = 120

-16 a = - 80

a = 5

g = 8 - a = 3

Check:

9 (5) + 25 (3) = 45 + 75 = 120 good


User Fevly Pallar
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories