Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.
Screen Shot 2021-12-04 at 12.35.51 PM.png
Name one combination of veggies that weighs 10 pounds but does not cost $17.
Name one combination of veggies that costs $17 but does not weigh 10 pounds.
How many pounds each of zucchini and broccoli can Andre get so that he spends all $17 and gets 10 pounds of veggies?
To identify a combination of veggies that weighs 10 pounds but does not cost $17, we can refer to the graph that shows combinations of zucchini and broccoli that weigh 10 pounds. In this case, we need to look for a point on the graph that does not intersect with the line representing $17.
To find a combination of veggies that costs $17 but does not weigh 10 pounds, we can refer to the graph that shows combinations of zucchini and broccoli that cost $17. We need to find a point on the graph that does not intersect with the line representing 10 pounds.
For the final question, we need to identify the point on the graph where the combinations of zucchini and broccoli add up to 10 pounds and $17. This point represents the combination of veggies that Andre can purchase while spending all $17 and getting 10 pounds of veggies.
To find the combination of veggies that weighs 10 pounds but does not cost $17, we can look at the graph showing combinations of zucchini and broccoli that weigh 10 pounds. From the graph, we can see that one possible combination is 6 pounds of zucchini and 4 pounds of broccoli. This combination weighs 10 pounds but does not cost $17.
To find the combination of veggies that costs $17 but does not weigh 10 pounds, we can look at the graph showing combinations of zucchini and broccoli that cost $17. From the graph, we can see that one possible combination is 7 pounds of zucchini and 5 pounds of broccoli. This combination costs $17 but does not weigh 10 pounds.
To find the combination of zucchini and broccoli that weighs 10 pounds and costs $17, we need to find the intersection point of the two graphs. From the graphs, we can see that the intersection point occurs at 5 pounds of zucchini and 5 pounds of broccoli. Therefore, Andre can get 5 pounds of zucchini and 5 pounds of broccoli to spend all $17 and get 10 pounds of veggies.
To spend all $17 on 10 lbs of veggies, you need
z+b = 10
1.50z + 2.00b = 17.00
That comes to 6 lbs of zucchini and 4 lbs of broccoli
I think now you can come up with answers for the other two questions