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RSB [31]
3 years ago
10

The mass of a teapot and 4 cups is 1,280 grams. The mass of the same teapot and 10 cups is 2,720 grams. Each cup has the same ma

ss. What is the mass of the teapot?
Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0

Answer: 320 grams

Step-by-step explanation:

Let the mas of the teapot be denoted by a

Let the mass of the cups be denoted by c

The question can be turned into an equation which will be:

a + 4c = 1280 ......... equation i

a + 10c = 2720 ........ equation ii

Subtract equation i from ii

6c = 1440

c = 1440/6

c = 240 grams

The mas of the cup is 240 grams

From equation i

a + 4c = 1280

a + 4(240) = 1280

a + 960 = 1280

a = 1280 - 960

a = 320 grams

The mass of the teapot is 320 grams

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