Question

simone has discovered a blow out sale at a shop in the mall. the cost of the 2 sweaters , 5 shirts and 3 pairs of pants is 172. the cost of the 5 sweaters and 8 pairs of pants is 269. the cost of 4 shirts and 1 pair of pants is 74 if x represents sweaters, y represents shirts and z represents pants which systems of equations can be used to determine the sale price of the sweaters the shirts and the pants

Answer 1

For this you will need to calculate the number of sweaters - 7x. Then you need to calculate the number of shirts - 9y. Last you need to calculate the number of pants - 12z. To balance the equation, you must calculate the total price $172+$269+$74 = $515. The equation is 7x+9y+12z = $515.

Answer 2

To determine the sales price of the sweaters the shirts and the pants, we need these equations:
`2x+5y+3z=172`,
`5x+8z=269` and
`4y+z=74`

Explanation:

Consider the provided information.

It is given that x represents sweaters, y represents shirts and z represents pants.

The cost of the 2 sweaters , 5 shirts and 3 pairs of pants is 172.

Therefore, the required system of equation is:

`2x+5y+3z=172`

The cost of the 5 sweaters and 8 pairs of pants is 269.

`5x+8z=269`

The cost of 4 shirts and 1 pair of pants is 74

`4y+z=74`

To determine the sales price of the sweaters the shirts and the pants, we need these equations:
`2x+5y+3z=172`,
`5x+8z=269` and
`4y+z=74`