# Thread: systems of equations

1. ## systems of equations

the systems methods is needed to solve these word problems:

1. Two isosceles triangles have the same base length. The legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if their perimeters are 23 cm and 41 cm.

2. On Friday, the With-IT Clothiers sold some jeans at $25 a pair and some shirts at$18 each. Receipts for the day totaled $441. On Saturday the store priced both items at$20, sold exactly the same number of each item, and had receipts of $420. How many pairs of jeans and how many shirts were sold each day? 3. A grain-storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are there if the capacity of the warehouse is 510 tons? im just completely lost when it comes to word problems. thank you! (: 2. Originally Posted by jilly17 the systems methods is needed to solve these word problems: 1. Two isosceles triangles have the same base length. The legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if their perimeters are 23 cm and 41 cm. Perimeter of 1st isosceles triangle with base B and legs L:$\displaystyle B+L+L=23\displaystyle B+2L=23$Perimeter of 2nd isosceles triangle with base B and legs 2L:$\displaystyle B+2L+2L=41\displaystyle B+4L=41$Originally Posted by jilly17 2. On Friday, the With-IT Clothiers sold some jeans at$25 a pair and some shirts at $18 each. Receipts for the day totaled$441. On Saturday the store priced both items at $20, sold exactly the same number of each item, and had receipts of$420. How many pairs of jeans and how many shirts were sold each day?

Friday's take: $\displaystyle 25j+18s=441$

Saturday's take: $\displaystyle 20j+20s=420$

Originally Posted by jilly17
3. A grain-storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are there if the capacity of the warehouse is 510 tons?

Total number of bins: $\displaystyle B_1 + B_2 = 30$

Capacity of bins: $\displaystyle 20B_1 + 15B_2=510$

Originally Posted by jilly17
im just completely lost when it comes to word problems. thank you! (:
Are you lost when it comes to solving a system of linear equations?

3. I was able to do number 1 and number 3, but the second one has me stumped /: