Question

1.

a) On Wednesday, Harry sold 3 times as many candy bars as on Tuesday. On Thursday, he sold 5 times as many bars as on Wednesday. He sold a total of 152 candy bars. How many did he sell each day?

b) Bill has 5 times as many baseball cards as Fred. Tim has 3 fewer than 4 times as many baseball cards as Fred. In all they have 167 baseball cards. How many does each have?

2.

a) The length of a rectangle is 5 more than the width. The perimeter of the rectangle is 168 inches. Find the dimensions of the rectangle.

b) The length of a rectangle is twice the width. If the length is increased by 4 inches and the width is diminished by 1 inch, a new rectangle is formed whose perimeter is 198 inches. Fine the dimensions of the original rectangle.

I really don"t understand word problems can someone help me on how to make equations on these

Answer 1

In most of these you simply have to translate from English to Math.
I will do #2 b)

original rectangle:
"The length of a rectangle is twice the width"
since "width" is the reference , let the width be x inches
then the length must be 2x inches

new rectangle:
"the length is increased by 4" ---> length = 2x+4
"the width is diminished by 1" ----> width = x - 1

perimeter of new rectangle is 198 ----> twice the length + twice the width = 198
2(2x+4) + 2(x-1) = 198
4x + 8 + 2x - 2 = 198
6x = 192
x = 32

<b>original width = 32 inches
original length = 64 inches</b>

new width = 31
new length = 68
new perimeter = 2(31) + 2(68) = 198
My answer is correct

Follow my method, perhaps highlighting or underlining the important phrases to form your variables.