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I don't understand this?
I don't know how to do these questions.
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?
or
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.
3 Answers
- dawgdaysLv 74 years ago
The key to this is to represent each value using a variable, and to then understand that in these problems, there is always a relationship between the variables.
And for the rectangle one:
L = 2*W
[length is twice the width]
2 * (L+4 + W-1) = 198
[perimeter is two sides and two lengths]
Now, substituting 2*W wherever you see L
2 * (2*W+4 + W-1) = 198
2*W + W + 4 - 1 = 3*W + 3 = 99
3*W = 99-3 = 96
W = 96/3 = 32
W = 32
L = 64
- Anonymous4 years ago
B = 5 *F
T = 4 * F - 3
B + T + F = 167
B + 4F - 3 + F = 167
B + 5F = 170
5F + 5F = 170
10F = 170
F = 17
So Fred has 17 cards, Bill has 85 cards (17 * 5), and Tim has 65 cards (17 * 4 - 3).
- 4 years ago
There are homework groups for these.
Baseball cards setup:
B == 5*F
T == 4*F - 3
B + F + T == 167
Substitute and solve.
