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madreJ [45]
3 years ago
12

A box of fruit has three times as many nectarines as grapefruit. Together there are 64 pieces of fruit. Write the equation that

represents this situation.
Mathematics
1 answer:
Basile [38]3 years ago
7 0

Answer:

4g = 64

Step-by-step explanation:

Let n = the number of nectarines

and g = the number of grapefruit

We have two conditions that must be satisfied to represent the situation:

(1)         n = 3g

(2) n + g = 64

If you need one equation, we can substitute (1) into (2) and get

4g = 64

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Compare.<br><br> 140/130 _____ 104%
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8 0
3 years ago
The ratio of cars to trucks is 9:4. The ratio of trucks to SUV's is 12:21. There are 54 cars.
Elenna [48]

Answer:

Number of trucks = 24

Number of SUVs = 24

Step-by-step explanation:

A)

The ratio of cars to trucks is 9:4

The total ratio of cars to trucks is

9+4 = 13

Let x = sum of cars and trucks.

There are 54 cars. Therefore,

x = 54 + t trucks

Number of cars = ratio of cars/ total ratio × sum of cars and trucks. This means,

54 = 9/13 × x

9x / 13 = 54

9x = 13 × 54

9x = 702

x = 702 / 9 = 78

x = 54 + t trucks = number of trucks = 78 = 54 + t trucks

t trucks = 78 - 54 = 24

Number of trucks = 24

B)

The ratio of trucks to SUVs is 12:21

The total ratio of cars to trucks is

12 + 21 = 33

Let y = sum of trucks and SUVs

There are 24 trucks. Therefore,

x = 24 + s SUVs

Number of trucks = ratio of trucks / total ratio × sum of trucks and SUVs. This means,

24 = 12 / 33 × y

12y / 33 = 24

12y = 24 × 33

12y = 792

y = 792 / 12 = 66

y = 24 + s SUVs

66 = 24 + s SUVs

s SUVs = 66 - 24 = 42

Number of SUVs = 24

7 0
3 years ago
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