At a carnival, food tickets cost $2 each and ride tickets cost $3 each. a total of $1,240 was collected at the carnival. the number of food tickets sold was 10 less than twice the number of ride tickets sold.

the system of equations represents x, the number of food tickets sold, and y, the number of ride tickets sold.

2x + 3y = 1240

x = 2y – 10

how many of each type of ticket were sold?

Here, x represents the umber of food tickets sold and  y represents the number of ride tickets sold.

Given the system of equations:

        ....[1]

             ....[2]

Substitute the equation [2] into [1] we have;

Using distributive property,

Combine like terms;

Add 20 to both sides we have;

Divide both sides by 7 we have;

y = 180

Substitute this in [2] we have;

therefore, each type of ticket were sold are:

the number of food tickets sold is, 350 and the number of ride tickets sold is, 180

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

£56

step-by-step explanation: