The ratio of nails to screws is 3 to 5. the ratio of screws to hammers is 10 to 2. there are 30 nails.
part a: how many screws are there?
part b: how many hammers are there?

Number of screws = 50

Number of hammers = 10

Step-by-step explanation:

Part A)

The ratio of nails to screws is 3 to 5.

Sum of the ratio of nail to screw is 3+5 = 8

Let the sum of screws and nails be x.

There are 30 nails. Therefore,

x = 30 nails + n screws

To calculate the total number of screws and nails,

3/8 × total number of screw and nails

= number of nails.

3/8 × x = 30

3x/8 = 30

3x = 8 × 30 = 240

x = 240/3 = 80

Sum of nails and screws = number of nails + number of screws, n

x = 30+ n

80 = 30 + n

n = 80 - 30 = 50

Number of screws = 50

Part B)

The ratio of screws to hammers is 10 to 2.

Sum of the ratio of screw to hammer is 10+2 = 12

Number of screws = 50

Let the sum of screws and hammer be y

y = 50 screws + h hammers

To calculate the total number of screws and hammers,

10/12 × total number of screw and hammers = number of screws.

10/12× y= 50

10y/12= 50

10y = 12 × 50= 600

y = 600/10= 60

Sum of screws and hammers = number of screws + number of hammers,h

y = 50 + h

60 = 50 + h

h = 60 - 50 = 10

Number of hammers = 10

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