SOLUTION: Trisha is on vacation. She sends letters and postcards to her friends at home. she needs 33 cents in postage for each letter and 20 cents for each postcard. she spends $3.58 in pos

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Question 158974This question is from textbook
: Trisha is on vacation. She sends letters and postcards to her friends at home. she needs 33 cents in postage for each letter and 20 cents for each postcard. she spends $3.58 in postage. how many letters and postcards did she send? This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
She needs 33 cents in postage for each letter, and 20 cents for each postcard.
She spends $3.58 in postage. How many letters and postcards did she send?
:
Let x = no. of letters
Let y = no. of postcards
:
.33x + .20y = 3.58
;
.2y = 3.58 - .33x
:
y = %283.58-.33x%29%2F.2
y = 17.9 - 1.65x
:
Substitute integers values for x, until you get an integer value for y
:
x = 6 will work
y = 17.9 - 1.65(6)
y = 17.9 - 9.9
y = 8
:
We have 6 letters, 8 post cards
;
:
Check:
.33(6) + .20(8) =
1.98 + 1.60 = 3.58