isaacdaman318 isaacdaman318
  • 19-07-2021
  • Mathematics
contestada

4 t-shirts and a hat costs £31.00
2 t-shirts and a hat costs £17.00.
How much does a t-shirt cost?
How much does a hat cost?

Respuesta :

jimrgrant1 jimrgrant1
  • 19-07-2021

Answer:

t- shirt cost £7, hat cost £3

Step-by-step explanation:

let t represent cost of t- shirt and h represent cost of hat , then

4t + h = 31  → (1)

2t + h = 17 → (2)

Subtract (2) from (1) term by term to eliminate h

(4t - 2t) + (h - h) = 31 - 17 , that is

2t = 14 ( divide both sides by 2 )

t = 7

Substitute t = 7 into either of the 2 equations and solve for h

Substituting into (1)

4(7) + h = 31

28 + h = 31 ( subtract 28 from both sides )

h = 3

t- shirt cost £7 and hat cost £3

Answer Link

Otras preguntas

how is density related to buoyancy
why reaction force must exist
Emma and Jamie used base ten block to show that 40 is one tenth of 400. whose model is nonsense?
The greatest value in a data set is called the
Bone has a density of 1.8 g/cm³. What mass of bone is required for a bone graft involving 6.0 cm³ of bone tissue? a. 0.3 g b. 3.3 g c. 4.2 g d. 10.8 g
A beaker contains 578 mL of water. Convert to quarts
What were the English, French, and Dutch searching for in their early voyages of exploration?
When full, a 22-gallon gas tank holds 129.8 pounds of gasoline. Estimate the weight of one gallon of gasoline. If it costs $91.30 to fill the gas tank, estimate
The major function of the respiratory system is to: a. provide oxygen to the body and eliminate carbon dioxide from the body. b. cleanse the body of toxins, poi
is 91\100 in simplest form