sanakhalid2002 sanakhalid2002
  • 24-08-2017
  • Mathematics
contestada

Three nuts and six bolts have a combined mass of 72g. Four nuts and five bolts have a combined mass of 66g. Find the mass of one nut and one bolt

Respuesta :

texaschic101
texaschic101 texaschic101
  • 24-08-2017
3n + 6b = 72...multiply by 4
4n + 5b = 66 ...multiply by -3
----------------
12n + 24b = 288 (result of multiplying by 4)
-12n - 15b = - 198 (result of multiplying by -3)
---------------add
9b = 90
b = 90/9
b = 10 .....each bolt is 10 grams

3n + 6b = 72
3n + 6(10) = 72
3n + 60 = 72
3n = 72 - 60
3n = 12
n = 12/3
n = 4.....each nut is 4 grams

so the mass of 1 bolt and 1 nut = 10 + 4 = 14 grams <==
Answer Link

Otras preguntas

A ride in a taxi cab costs $2.50 for the pick-up charge and $0.50 for every mile, m, after that. Which equation can be used to find the cost, c, of a taxi cab r
Organic materials does not decay completely if it is deprived of
What was the significance of the treaty of versailles on germany from 1919-1939?
(1 pt) Matt paid $6.88 for 4 bags of rice. Each bag cost the same amount. How much did Matt pay for each bag of rice?
describe how a skyscraper is built
What three men wrote the Federalist papers
7/8 ÷ 1/20[tex] \frac{7}{8} \div \frac{1}{20} [/tex]
What is the value of the missing angle. A. 50 B. 60 C. 100 D. 240
Which statement does not explain how cold and ice affect the climate in antarctica
The difference of the squares of two positive consecutive even integers is 28. Find the integers. Use the fact​ that, if x represents an even​ integer, then x+