please someone..explain these to me?

Question

1: Steven has 3 pounds of brand 121 nuts that sell for $2.23 a pound. He also has brand 330 nuts that sell for $1.75 a pound. If he wants a mixture of nuts that sell for $1.93 a pound, how many pounds of brand 330 should he add?






3 pounds
5 pounds
6 pounds
8 pounds


2: Brianna has 2 pounds of brand 176 nuts that sell for $3 a pound. She also has brand 391 nuts that sell for $1.74 a pound. If she wants a mixture of nuts that sell for $2.58 a pound, how many pounds of brand 391 should she add?






2 pounds
1/2 pound
1 pound
3 pounds


3: Mr. Lowe bought some three-cent stamps and some two-cent stamps. The total cost was $8.90. How many stamps of each kind did he buy if the total number was 345 stamps?






200 three-cent and 145 two-cent
175 three-cent and 170 two-cent
145 three-cent and 200 two-cent
150 three-cent and 195 two-cent


4: A bank teller has a package of five-dollar bills and a package of ten-dollar bills. The total value is $1110. How many bills of each denomination has he, if the total number of bills is 142?






80 fives and 62 tens
63 tens and 79 fives
42 tens and 100 fives
80 tens and 62 fives


5: How many pounds of coffee selling for $2.25 a pound should be added to eight pounds of coffee selling for $3.75 a pound to create a blend, which will sell for $3.45 a pound?






1 pound
2 pounds
3 pounds
4 pounds

Answer 1

#1 is 5 pounds
#2 ist hat she should add 3 pounds
#3 is the last answer
#4 is 42 tens and 100 fives
#5 2 pounds
i hope this helps

Answer 2

#1 is 5 pounds
#2 ist hat she should add 3 pounds
#3 is the last answer
#4 is 42 tens and 100 fives
#5 2 pounds
i hope this helps

Answer 3

How about I will do #5 as an example:

if x is the number of pounds of coffee to add, then:

We will end up with (8+x) pounds @ $3.45
Assuming we want to give fair value to the customers (otherwise add it all and sell it for $3.50 a pound), the values will match:

2.25x + 8(3.75) = (8+x) (3.45)
2.25x + 30 = 27.6 +3.45x
2.4 = 1.2x
x = 2