Drew bought 3 pounds of beans and 2 pounds of peppers for $7.05. Last week he bought 4 pounds of beans and 3 pounds of peppers for $9.83. The price for both items stayed the same both weeks what is the cost per pound

A pound of beans cost $1.49 and a pound of pepper costs $1.29.

Step-by-step explanation:

Let the cost per pound of beans=b

Let the cost per pound of pepper=p

Drew bought 3 pounds of beans and 2 pounds of peppers for $7.05.

That gives his cost:

3b+2p=$7.05

Similarly, he bought 4 pounds of beans and 3 pounds of peppers for $9.83.

His cost in this case is represented by:

4b+3p=$9.83

We solve the two equations we have derived simultaneously.

3b+2p=$7.05

4b+3p=$9.83

To eliminate p, multiply the first equation by 3 and the second equation by 2.

9b+6p=21.15

8b+6p=19.66

Next we Subtract

b=1.49

Substitute b=1.49 into any of the equations to obtain p.

3b+2p=$7.05

3(1.49)+2p=7.05

4.47+2p=7.05

2p=7.05-4.47

2p=2.58

p=1.29

Since b=$1.49, b=$1.29

Therefore a pound of beans cost $1.49 and a pound of pepper costs $1.29.

step-by-step explanation:

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