The Jones family and the Connor family both bought the same boxed package of sugar cubes at the store, in which the cubes were arranged in 5 layers. After drinking of 61 cups of tea, the Joneses found that they were out of sugar. The Connors' sugar box was enough to last them through 88 cups of tea. Both families put either 2 or 3 pieces of sugar per cup. How many sugar cubes were in the box?

180

Step-by-step explanation:

At the beggining, it says they are stacked in 5 layers which means the number of cubes is divisible by 5.

If the number of cubes equals x:

The least amount of sugar cubes the Jones family could have used is which equals 122. The most they couldve used is which equals 183.

Based on the information from the Jones family, x is between 122 and 183.

Based on the information from the Connor's, x is between 176 and 264.

Based on the information from both, x is between 176 and 183. The only number that is divisible by 5 between those numbers is 180 cubes.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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step-by-step explanation:

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