How would I solve these word problems with the answers?

Question

1 Tia cut a 4 meters 8 centimetres wire into 10 equal pieces? Marta cut a 540 centimetres wire into 9 equal pieces. How much longer is one of marta's wires than one of Tia's? 

 

2 jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all, how many gallons of paint will be used to paint the inside of the barn?

 

3  string A is 35 centimeters long. String B is 5 times as long as string A. Both are necessary to create a decorative bottle. Find the total length of string needed for 17 identical decorative bottles. Express your answer in meters.

Answer 1

Please post your problems individually, to get the best response.

 

Okay, problem 1, you need to set up the problem.  Tia's wire is Tia's length divided by 10, Marta's wire is Marta's length divided by 9.  Then subtract the numbers.

 

4 m 8 cm = how many cm?  There are 100 cm in a meter, so it's... 408 cm.  

 

Tia     = 409 cm / 10 = 40.8 cm

 

Marta = 540 cm / 9 = 60 cm

 

Find the difference, and you're done.

 

 

PROBLEM 2

 

Let's say q is the number of quarts he needs for the inside, which is what we're trying to find.  

Then he needs 19 more quarts for the outside, so q + 19 is the number he needs for the outside.

Total, he needs 107 quarts to paint  the inside and outside. 

 

q + q + 19 = 107

 

2q = 107 - 19 = 88

 

q = 44  (quarts)

 

 

PROBLEM 3

 

Take this one one sentence at a time.  

 

A is 35 cm

B is 5 times A is how many cm?  

T is the total for one bottle is A + B -- is how many cm?

17 bottles is 17 times T -- is how many cm?   

Divide 17 T by 100 to find how many meters for 17 bottles.