Answer:
Cameron and Rebecca are organizing a lunch for their friends. Within the dishes to be served, they will prepare a tomato, carrot and broccoli salad. The number of tomatoes and carrots are 10-partners and the total amount of vegetables is 12. If we increase the number of broccoli by three and decrease the number of tomatoes by two, the amount of tomatoes and broccoli will also be 10-partners. What is the number of tomatoes, carrots and broccoli bought by Cameron and Rebecca?
<u>Cameron and Rebecca purchased 7 tomatoes, 3 carrots and 2 broccoli.</u>
Step-by-step explanation:
Number of tomatoes = x
Number of carrots = 10 - x
Number of broccoli = y
System of Equations:
x + 10 - x + y = 12
y = 12 - 10
y = 2
x - 2 + y + 3 = 10 (If we increase the number of broccoli by three and decrease the number of tomatoes by two, the amount of tomatoes and broccoli will also be 10-partners)
x + 1 + y = 10
x + y = 9
y = 9 - x
Substitution of y:
x + 10 - x + y = 12
x + 10 - x + 9 - x = 12
-x + 19 = 12
-x = 12 - 19
x = 7 ⇒ 10 - x = 3
<u>Cameron and Rebecca purchased 7 tomatoes, 3 carrots and 2 broccoli.</u>
Answer:
A 94
Step-by-step explanation:
If we take the mean of 91, 96, and 95, we find that it is equal to 94. Thus, if he scores a 94 on his last two quizzes, his average will remain a 94.
When multiplying them out you get:
6.0258
but rounded to the nearest hundredth you'd get:
6.03
