Ozzie's Mother bought an assortment of greeting cards while she was at the bookstore. She bought twice as many birthday cards as anniversary cards. She bought 2 fewer anniversary cards than general greetings cards, but 2 more anniversary cards than get well cards. If she bought 2 get well cards, how many cards did she buy in all?
Make a chart
Get well - 2
Anniversary - 4
General Greeting- 6
Anniversary - 8
2+4+6+8 = 20
20 total cards
Answer is 20
2 get well cards
4 anniversary cards
6 greeting cards
8 birthday cards
To find out how many cards Ozzie's Mother bought in total, we need to add up the number of birthday cards, anniversary cards, general greeting cards, and get well cards.
Let's break down the information given:
She bought twice as many birthday cards as anniversary cards.
Let's say the number of anniversary cards is 'x'. So, she bought 2x birthday cards.
She bought 2 fewer anniversary cards than general greeting cards.
Let's say the number of general greeting cards is 'y'. So, she bought y - 2 anniversary cards.
She bought 2 more anniversary cards than get well cards.
She bought 2 get well cards, so she bought 2 + 2 = 4 anniversary cards.
Now, let's add up the cards:
The number of birthday cards = 2 times the number of anniversary cards = 2x.
The number of anniversary cards = 4.
The number of general greeting cards = the number of anniversary cards + 2 = 4 + 2 = 6.
The number of get well cards = 2.
Total cards = Number of birthday cards + Number of anniversary cards + Number of general greeting cards + Number of get well cards.
Total cards = 2x + 4 + 6 + 2.
Since we don't have the actual value of 'x', we cannot calculate the exact total number of cards she bought.
So it's:
b=2a
a=g-2
a=gw+2
There are 2 gw cards, so there must be 4 a cards. If there are 4 a cards, there must be 8b cards and 2 g cards.
8+4+2+2=16
So 16 is the answer.