. Tommy gives baseball cards to four of his friends. He gives Kiana 3 cards less than he gives Gary.
He gives Monty 7 cards more than he gives Kiana. He gives Willa twice as many as he gives
Monty. How many cards does Tommy give to each friend if he gives out a total of 74 cards?

Question

p4rinadanmayee p4rinadanmayee

24-11-2016
Mathematics

contestada

. Tommy gives baseball cards to four of his friends. He gives Kiana 3 cards less than he gives Gary.
He gives Monty 7 cards more than he gives Kiana. He gives Willa twice as many as he gives
Monty. How many cards does Tommy give to each friend if he gives out a total of 74 cards?

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Lampa20 Lampa20 · Answer 1 · 2016-11-26T10:27:29+01:00

We need to write system of equations for this problem. Reading text we write 1 equation by 1.
first lets name our variables
x - Kiana cards
y - Gary cards
z - Monty cards
m - Willa cards

x = y-3 which we can write as y = x+3
z = x + 7
m = 2z
x + y + z + m = 74

I think easiest way to solve this is to express all variables in last equation and solve for x.
x + x+3 + x + 7+ 2x + 14= 74
5x = 50
x = 10
now we just calculate cards given to each friend

y = 13
z = 17
m = 34

. Tommy gives baseball cards to four of his friends. He gives Kiana 3 cards less than he gives Gary. He gives Monty 7 cards more than he gives Kiana. He gives Willa twice as many as he gives Monty. How many cards does Tommy give to each friend if he gives out a total of 74 cards?

Respuesta :

Otras preguntas

. Tommy gives baseball cards to four of his friends. He gives Kiana 3 cards less than he gives Gary.
He gives Monty 7 cards more than he gives Kiana. He gives Willa twice as many as he gives
Monty. How many cards does Tommy give to each friend if he gives out a total of 74 cards?